56503725465600 has 6048 divisors, whose sum is σ = 273128086183680. Its totient is φ = 11486562877440.

The previous prime is 56503725465599. The next prime is 56503725465613. The reversal of 56503725465600 is 656452730565.

56503725465600 is a `hidden beast` number, since 5 + 6 + 5 + 0 + 3 + 7 + 25 + 4 + 6 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

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 431 ways as a sum of consecutive naturals, for example, 1202206924777 + ... + 1202206924823.

It is an arithmetic number, because the mean of its divisors is an integer number (45160067160).

Almost surely, 2^{56503725465600} is an apocalyptic number.

56503725465600 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 56503725465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136564043091840).

56503725465600 is an abundant number, since it is smaller than the sum of its proper divisors (216624360718080).

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

56503725465600 is a wasteful number, since it uses less digits than its factorization.

56503725465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 22680000, while the sum is 54.

The spelling of 56503725465600 in words is "fifty-six trillion, five hundred three billion, seven hundred twenty-five million, four hundred sixty-five thousand, six hundred".