20117502726720 has 448 divisors, whose sum is σ = 73872655464960. Its totient is φ = 4543253839872.

The previous prime is 20117502726689. The next prime is 20117502726743. The reversal of 20117502726720 is 2762720571102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 857036904 + ... + 857060376.

Almost surely, 2^{20117502726720} is an apocalyptic number.

20117502726720 is a gapful number since it is divisible by the number (20) 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 20117502726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36936327732480).

20117502726720 is an abundant number, since it is smaller than the sum of its proper divisors (53755152738240).

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

20117502726720 is a wasteful number, since it uses less digits than its factorization.

20117502726720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25022 (or 25012 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The spelling of 20117502726720 in words is "twenty trillion, one hundred seventeen billion, five hundred two million, seven hundred twenty-six thousand, seven hundred twenty".