12770579520 has 336 divisors, whose sum is σ = 46955628720. Its totient is φ = 3174432768.

The previous prime is 12770579483. The next prime is 12770579539. The reversal of 12770579520 is 2597507721.

12770579520 is a `hidden beast` number, since 1 + 2 + 7 + 70 + 57 + 9 + 520 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 257025024 + 12513554496 = 16032^2 + 111864^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 5335444 + ... + 5337836.

It is an arithmetic number, because the mean of its divisors is an integer number (139748895).

Almost surely, 2^12770579520 is an apocalyptic number.

12770579520 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 12770579520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23477814360).

12770579520 is an abundant number, since it is smaller than the sum of its proper divisors (34185049200).

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

12770579520 is a wasteful number, since it uses less digits than its factorization.

12770579520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 2529 counting only the distinct ones).

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

The spelling of 12770579520 in words is "twelve billion, seven hundred seventy million, five hundred seventy-nine thousand, five hundred twenty".