20819610956928 has 128 divisors (see below), whose sum is σ = 63276491617920. Its totient is φ = 5941486043136.

The previous prime is 20819610956909. The next prime is 20819610956929. The reversal of 20819610956928 is 82965901691802.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (20819610956929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2247225 + ... + 6832952.

It is an arithmetic number, because the mean of its divisors is an integer number (494347590765).

Almost surely, 2^{20819610956928} is an apocalyptic number.

20819610956928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20819610956928 is an abundant number, since it is smaller than the sum of its proper divisors (42456880660992).

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

20819610956928 is an equidigital number, since it uses as much as digits as its factorization.

20819610956928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9081054 (or 9081042 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 66.

The spelling of 20819610956928 in words is "twenty trillion, eight hundred nineteen billion, six hundred ten million, nine hundred fifty-six thousand, nine hundred twenty-eight".