56153904442416 has 2560 divisors, whose sum is σ = 205783400448000. Its totient is φ = 14754754713600.

The previous prime is 56153904442409. The next prime is 56153904442421. The reversal of 56153904442416 is 61424440935165.

56153904442416 is a `hidden beast` number, since 5 + 6 + 1 + 5 + 390 + 4 + 4 + 4 + 241 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 630942746500 + ... + 630942746588.

It is an arithmetic number, because the mean of its divisors is an integer number (80384140800).

Almost surely, 2^{56153904442416} 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 56153904442416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102891700224000).

56153904442416 is an abundant number, since it is smaller than the sum of its proper divisors (149629496005584).

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

56153904442416 is a wasteful number, since it uses less digits than its factorization.

56153904442416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 56153904442416 in words is "fifty-six trillion, one hundred fifty-three billion, nine hundred four million, four hundred forty-two thousand, four hundred sixteen".