56379013278192 has 480 divisors, whose sum is σ = 190177617139200. Its totient is φ = 15853075660800.

The previous prime is 56379013278187. The next prime is 56379013278227. The reversal of 56379013278192 is 29187231097365.

56379013278192 is a `hidden beast` number, since 5 + 6 + 37 + 90 + 1 + 327 + 8 + 192 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97217184 + ... + 97795392.

It is an arithmetic number, because the mean of its divisors is an integer number (396203369040).

Almost surely, 2^{56379013278192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56379013278192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95088808569600).

56379013278192 is an abundant number, since it is smaller than the sum of its proper divisors (133798603861008).

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

56379013278192 is a wasteful number, since it uses less digits than its factorization.

56379013278192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578342 (or 578313 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 56379013278192 in words is "fifty-six trillion, three hundred seventy-nine billion, thirteen million, two hundred seventy-eight thousand, one hundred ninety-two".