20171627617152 has 128 divisors (see below), whose sum is σ = 58457900315520. Its totient is φ = 6111984384000.

The previous prime is 20171627617121. The next prime is 20171627617159. The reversal of 20171627617152 is 25171672617102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×20171627617152² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20171627617159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41580663 + ... + 42062985.

It is an arithmetic number, because the mean of its divisors is an integer number (456702346215).

Almost surely, 2^{20171627617152} is an apocalyptic number.

20171627617152 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 20171627617152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29228950157760).

20171627617152 is an abundant number, since it is smaller than the sum of its proper divisors (38286272698368).

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

20171627617152 is a wasteful number, since it uses less digits than its factorization.

20171627617152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492252 (or 492240 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 48.

20171627617152 divided by its sum of digits (48) gives a palindrome (420242242024).

The spelling of 20171627617152 in words is "twenty trillion, one hundred seventy-one billion, six hundred twenty-seven million, six hundred seventeen thousand, one hundred fifty-two".