56379844344096 has 288 divisors, whose sum is σ = 197798209959168. Its totient is φ = 14834087331840.

The previous prime is 56379844344037. The next prime is 56379844344101. The reversal of 56379844344096 is 69044344897365.

56379844344096 is a `hidden beast` number, since 5 + 6 + 3 + 7 + 98 + 4 + 4 + 3 + 440 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 8478645 + ... + 13588491.

It is an arithmetic number, because the mean of its divisors is an integer number (686799340136).

Almost surely, 2^{56379844344096} is an apocalyptic number.

56379844344096 is a gapful number since it is divisible by the number (56) 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 56379844344096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98899104979584).

56379844344096 is an abundant number, since it is smaller than the sum of its proper divisors (141418365615072).

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

56379844344096 is a wasteful number, since it uses less digits than its factorization.

56379844344096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5110304 (or 5110293 counting only the distinct ones).

The product of its (nonzero) digits is 1881169920, while the sum is 72.

The spelling of 56379844344096 in words is "fifty-six trillion, three hundred seventy-nine billion, eight hundred forty-four million, three hundred forty-four thousand, ninety-six".