12577057920 has 448 divisors, whose sum is σ = 51533288640. Its totient is φ = 2874009600.

The previous prime is 12577057903. The next prime is 12577057921. The reversal of 12577057920 is 2975077521.

12577057920 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 70 + 579 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (12577057921) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3263995 + ... + 3267845.

Almost surely, 2^12577057920 is an apocalyptic number.

12577057920 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 12577057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25766644320).

12577057920 is an abundant number, since it is smaller than the sum of its proper divisors (38956230720).

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

12577057920 is an frugal number, since it uses more digits than its factorization.

12577057920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3895 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 45.

It can be divided in two parts, 1257705 and 7920, that added together give a square (1265625 = 1125²).

The spelling of 12577057920 in words is "twelve billion, five hundred seventy-seven million, fifty-seven thousand, nine hundred twenty".