56093979816000 has 896 divisors, whose sum is σ = 235311327313920. Its totient is φ = 12815573760000.

The previous prime is 56093979815977. The next prime is 56093979816053. The reversal of 56093979816000 is 61897939065.

56093979816000 is a `hidden beast` number, since 5 + 609 + 3 + 9 + 7 + 9 + 8 + 16 + 0 + 0 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3857104729 + ... + 3857119271.

Almost surely, 2^{56093979816000} is an apocalyptic number.

56093979816000 is a gapful number since it is divisible by the number (50) 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 56093979816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117655663656960).

56093979816000 is an abundant number, since it is smaller than the sum of its proper divisors (179217347497920).

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

56093979816000 is a wasteful number, since it uses less digits than its factorization.

56093979816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17137 (or 17111 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 56093979816000 in words is "fifty-six trillion, ninety-three billion, nine hundred seventy-nine million, eight hundred sixteen thousand".