21112812573696 has 352 divisors, whose sum is σ = 64446401237760. Its totient is φ = 6824698675200.

The previous prime is 21112812573569. The next prime is 21112812573719. The reversal of 21112812573696 is 69637521821112.

21112812573696 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 2 + 8 + 1 + 2 + 573 + 69 + 6 = 666.

It is a super-2 number, since 2×21112812573696² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 119655330 + ... + 119831646.

Almost surely, 2^{21112812573696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21112812573696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32223200618880).

21112812573696 is an abundant number, since it is smaller than the sum of its proper divisors (43333588664064).

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

21112812573696 is a wasteful number, since it uses less digits than its factorization.

21112812573696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176478 (or 176454 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 21112812573696 in words is "twenty-one trillion, one hundred twelve billion, eight hundred twelve million, five hundred seventy-three thousand, six hundred ninety-six".