12811522592 has 162 divisors, whose sum is σ = 29728683621. Its totient is φ = 5429642240.

The previous prime is 12811522571. The next prime is 12811522631. The reversal of 12811522592 is 29522511821.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 11725424656 + 1086097936 = 108284^2 + 32956^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=80036.

It is a super-2 number, since 2×12811522592² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 119733803 + ... + 119733909.

Almost surely, 2^12811522592 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 12811522592

12811522592 is an abundant number, since it is smaller than the sum of its proper divisors (16917161029).

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

12811522592 is a wasteful number, since it uses less digits than its factorization.

12811522592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 137 counting only the distinct ones).

The product of its digits is 28800, while the sum is 38.

Multiplying 12811522592 by its product of digits (28800), we get a square (368971850649600 = 19208640²).

The spelling of 12811522592 in words is "twelve billion, eight hundred eleven million, five hundred twenty-two thousand, five hundred ninety-two".