21038114972056 has 96 divisors (see below), whose sum is σ = 50621731181280. Its totient is φ = 8119776268800.

The previous prime is 21038114972051. The next prime is 21038114972071. The reversal of 21038114972056 is 65027941183012.

It is a happy number.

It is a hoax number, since the sum of its digits (49) 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 (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21038114972051) 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 23 ways as a sum of consecutive naturals, for example, 50136900 + ... + 50554771.

It is an arithmetic number, because the mean of its divisors is an integer number (527309699805).

It is a 1-persistent number, because it is pandigital, but 2⋅21038114972056 = 42076229944112 is not.

Almost surely, 2^{21038114972056} is an apocalyptic number.

21038114972056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

21038114972056 is an abundant number, since it is smaller than the sum of its proper divisors (29583616209224).

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

21038114972056 is a wasteful number, since it uses less digits than its factorization.

21038114972056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100691745 (or 100691734 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 21038114972056 in words is "twenty-one trillion, thirty-eight billion, one hundred fourteen million, nine hundred seventy-two thousand, fifty-six".