56681352000 has 1344 divisors, whose sum is σ = 256847205888. Its totient is φ = 11612160000.

The previous prime is 56681351981. The next prime is 56681352019. The reversal of 56681352000 is 25318665.

56681352000 is a `hidden beast` number, since 56 + 6 + 81 + 3 + 520 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56681351981) and next prime (56681352019).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 268631895 + ... + 268632105.

It is an arithmetic number, because the mean of its divisors is an integer number (191106552).

Almost surely, 2^56681352000 is an apocalyptic number.

56681352000 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 56681352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128423602944).

56681352000 is an abundant number, since it is smaller than the sum of its proper divisors (200165853888).

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

56681352000 is a wasteful number, since it uses less digits than its factorization.

56681352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 56681352000 in words is "fifty-six billion, six hundred eighty-one million, three hundred fifty-two thousand".