12977792520 has 256 divisors, whose sum is σ = 51396249600. Its totient is φ = 2538024960.

The previous prime is 12977792497. The next prime is 12977792521. The reversal of 12977792520 is 2529777921.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (12977792521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115771 + ... + 198389.

It is an arithmetic number, because the mean of its divisors is an integer number (200766600).

Almost surely, 2^12977792520 is an apocalyptic number.

12977792520 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 12977792520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25698124800).

12977792520 is an abundant number, since it is smaller than the sum of its proper divisors (38418457080).

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

12977792520 is a wasteful number, since it uses less digits than its factorization.

12977792520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82668 (or 82664 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 51.

The spelling of 12977792520 in words is "twelve billion, nine hundred seventy-seven million, seven hundred ninety-two thousand, five hundred twenty".