12577462920 has 320 divisors, whose sum is σ = 48832502400. Its totient is φ = 2869585920.

The previous prime is 12577462901. The next prime is 12577462967. The reversal of 12577462920 is 2926477521.

12577462920 is a `hidden beast` number, since 12 + 5 + 7 + 7 + 4 + 629 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 595501 + ... + 616259.

It is an arithmetic number, because the mean of its divisors is an integer number (152601570).

Almost surely, 2^12577462920 is an apocalyptic number.

12577462920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12577462920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24416251200).

12577462920 is an abundant number, since it is smaller than the sum of its proper divisors (36255039480).

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

12577462920 is a wasteful number, since it uses less digits than its factorization.

12577462920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20810 (or 20797 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 12577462920 in words is "twelve billion, five hundred seventy-seven million, four hundred sixty-two thousand, nine hundred twenty".