12977579011536 has 120 divisors (see below), whose sum is σ = 36678041417160. Its totient is φ = 4283174412288.

The previous prime is 12977579011519. The next prime is 12977579011547. The reversal of 12977579011536 is 63511097577921.

12977579011536 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 7 + 5 + 7 + 90 + 1 + 1 + 536 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3881057601600 + 9096521409936 = 1970040^2 + 3016044^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22203880 + ... + 22780856.

It is an arithmetic number, because the mean of its divisors is an integer number (305650345143).

Almost surely, 2^{12977579011536} is an apocalyptic number.

12977579011536 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 12977579011536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18339020708580).

12977579011536 is an abundant number, since it is smaller than the sum of its proper divisors (23700462405624).

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

12977579011536 is a wasteful number, since it uses less digits than its factorization.

12977579011536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578533 (or 578524 counting only the distinct ones).

The product of its (nonzero) digits is 25004700, while the sum is 63.

The spelling of 12977579011536 in words is "twelve trillion, nine hundred seventy-seven billion, five hundred seventy-nine million, eleven thousand, five hundred thirty-six".