56385553948416 has 1728 divisors, whose sum is σ = 213001662182400. Its totient is φ = 14212251648000.

The previous prime is 56385553948391. The next prime is 56385553948421. The reversal of 56385553948416 is 61484935558365.

56385553948416 is a `hidden beast` number, since 5 + 6 + 3 + 8 + 5 + 5 + 539 + 4 + 84 + 1 + 6 = 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 191 ways as a sum of consecutive naturals, for example, 100151960551 + ... + 100151961113.

It is an arithmetic number, because the mean of its divisors is an integer number (123264850800).

Almost surely, 2^{56385553948416} is an apocalyptic number.

56385553948416 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 56385553948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106500831091200).

56385553948416 is an abundant number, since it is smaller than the sum of its proper divisors (156616108233984).

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

56385553948416 is a wasteful number, since it uses less digits than its factorization.

56385553948416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 908 counting only the distinct ones).

The product of its digits is 1866240000, while the sum is 72.

The spelling of 56385553948416 in words is "fifty-six trillion, three hundred eighty-five billion, five hundred fifty-three million, nine hundred forty-eight thousand, four hundred sixteen".