20017070311392 has 1296 divisors, whose sum is σ = 76403886564096. Its totient is φ = 5135615654400.

The previous prime is 20017070311379. The next prime is 20017070311393. The reversal of 20017070311392 is 29311307071002.

It is a happy number.

20017070311392 is a `hidden beast` number, since 2 + 0 + 0 + 170 + 70 + 31 + 1 + 392 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-3 number, since 3×20017070311392³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20017070311393) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3826621417 + ... + 3826626647.

It is an arithmetic number, because the mean of its divisors is an integer number (58953616176).

Almost surely, 2^{20017070311392} is an apocalyptic number.

20017070311392 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20017070311392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38201943282048).

20017070311392 is an abundant number, since it is smaller than the sum of its proper divisors (56386816252704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20017070311392 is a wasteful number, since it uses less digits than its factorization.

20017070311392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5375 (or 5337 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

Adding to 20017070311392 its reverse (29311307071002), we get a palindrome (49328377382394).

The spelling of 20017070311392 in words is "twenty trillion, seventeen billion, seventy million, three hundred eleven thousand, three hundred ninety-two".