20525761938864 has 960 divisors, whose sum is σ = 68418013824000. Its totient is φ = 5187764994048.

The previous prime is 20525761938779. The next prime is 20525761938947. The reversal of 20525761938864 is 46883916752502.

It is a super-2 number, since 2×20525761938864² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20525761938795 and 20525761938804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54157683027 + ... + 54157683405.

It is an arithmetic number, because the mean of its divisors is an integer number (71268764400).

It is a 1-persistent number, because it is pandigital, but 2⋅20525761938864 = 41051523877728 is not.

Almost surely, 2^{20525761938864} is an apocalyptic number.

20525761938864 is a gapful number since it is divisible by the number (24) 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 20525761938864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34209006912000).

20525761938864 is an abundant number, since it is smaller than the sum of its proper divisors (47892251885136).

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

20525761938864 is a wasteful number, since it uses less digits than its factorization.

20525761938864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 66.

The spelling of 20525761938864 in words is "twenty trillion, five hundred twenty-five billion, seven hundred sixty-one million, nine hundred thirty-eight thousand, eight hundred sixty-four".