12577279464640 has 112 divisors (see below), whose sum is σ = 32783854269600. Its totient is φ = 4557946388480.

The previous prime is 12577279464587. The next prime is 12577279464641. The reversal of 12577279464640 is 4646497277521.

It is a super-3 number, since 3×12577279464640³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (12577279464641) 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, 5066065 + ... + 7128784.

It is an arithmetic number, because the mean of its divisors is an integer number (292712984550).

Almost surely, 2^{12577279464640} is an apocalyptic number.

12577279464640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12577279464640 is an abundant number, since it is smaller than the sum of its proper divisors (20206574804960).

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

12577279464640 is a wasteful number, since it uses less digits than its factorization.

12577279464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12195170 (or 12195160 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 64.

The spelling of 12577279464640 in words is "twelve trillion, five hundred seventy-seven billion, two hundred seventy-nine million, four hundred sixty-four thousand, six hundred forty".