12577130496 has 240 divisors, whose sum is σ = 42937614720. Its totient is φ = 3593134080.

The previous prime is 12577130441. The next prime is 12577130557. The reversal of 12577130496 is 69403177521.

12577130496 is a `hidden beast` number, since 1 + 2 + 577 + 1 + 30 + 49 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1155801 + ... + 1166631.

It is an arithmetic number, because the mean of its divisors is an integer number (178906728).

Almost surely, 2^12577130496 is an apocalyptic number.

12577130496 is a gapful number since it is divisible by the number (16) 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 12577130496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21468807360).

12577130496 is an abundant number, since it is smaller than the sum of its proper divisors (30360484224).

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

12577130496 is an equidigital number, since it uses as much as digits as its factorization.

12577130496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10872 (or 10843 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 12577130496 in words is "twelve billion, five hundred seventy-seven million, one hundred thirty thousand, four hundred ninety-six".