56458684800 has 1440 divisors, whose sum is σ = 253267219920. Its totient is φ = 12123095040.

The previous prime is 56458684769. The next prime is 56458684831. The reversal of 56458684800 is 848685465.

56458684800 is a `hidden beast` number, since 56 + 4 + 58 + 68 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56458684769) and next prime (56458684831).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1525910382 + ... + 1525910418.

Almost surely, 2^56458684800 is an apocalyptic number.

56458684800 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 56458684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126633609960).

56458684800 is an abundant number, since it is smaller than the sum of its proper divisors (196808535120).

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

56458684800 is a wasteful number, since it uses less digits than its factorization.

56458684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 56458684800 in words is "fifty-six billion, four hundred fifty-eight million, six hundred eighty-four thousand, eight hundred".