12973177578960 has 400 divisors, whose sum is σ = 47861753651712. Its totient is φ = 3245535129600.

The previous prime is 12973177578931. The next prime is 12973177578973. The reversal of 12973177578960 is 6987577137921.

12973177578960 is a `hidden beast` number, since 1 + 2 + 97 + 317 + 75 + 78 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34070425 + ... + 34449095.

Almost surely, 2^{12973177578960} is an apocalyptic number.

12973177578960 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 12973177578960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23930876825856).

12973177578960 is an abundant number, since it is smaller than the sum of its proper divisors (34888576072752).

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

12973177578960 is a wasteful number, since it uses less digits than its factorization.

12973177578960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379024 (or 379009 counting only the distinct ones).

The product of its (nonzero) digits is 280052640, while the sum is 72.

The spelling of 12973177578960 in words is "twelve trillion, nine hundred seventy-three billion, one hundred seventy-seven million, five hundred seventy-eight thousand, nine hundred sixty".