56954221277184 has 2496 divisors, whose sum is σ = 226691232768000. Its totient is φ = 13332617625600.

The previous prime is 56954221277167. The next prime is 56954221277251. The reversal of 56954221277184 is 48177212245965.

56954221277184 is a `hidden beast` number, since 5 + 6 + 9 + 5 + 422 + 1 + 27 + 7 + 184 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95082172117 + ... + 95082172715.

It is an arithmetic number, because the mean of its divisors is an integer number (90821808000).

Almost surely, 2^{56954221277184} 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 56954221277184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113345616384000).

56954221277184 is an abundant number, since it is smaller than the sum of its proper divisors (169737011490816).

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

56954221277184 is a wasteful number, since it uses less digits than its factorization.

56954221277184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 725 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 56954221277184 in words is "fifty-six trillion, nine hundred fifty-four billion, two hundred twenty-one million, two hundred seventy-seven thousand, one hundred eighty-four".