12577534632 has 64 divisors (see below), whose sum is σ = 37625112000. Its totient is φ = 3870009792.

The previous prime is 12577534631. The next prime is 12577534667. The reversal of 12577534632 is 23643577521.

12577534632 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 7 + 5 + 3 + 4 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (12577534631) 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, 2236782 + ... + 2242397.

It is an arithmetic number, because the mean of its divisors is an integer number (587892375).

Almost surely, 2^12577534632 is an apocalyptic number.

12577534632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12577534632 is an abundant number, since it is smaller than the sum of its proper divisors (25047577368).

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

12577534632 is a wasteful number, since it uses less digits than its factorization.

12577534632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4479207 (or 4479197 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The spelling of 12577534632 in words is "twelve billion, five hundred seventy-seven million, five hundred thirty-four thousand, six hundred thirty-two".