56557373644800 has 2268 divisors, whose sum is σ = 245000891020860. Its totient is φ = 12912350330880.

The previous prime is 56557373644711. The next prime is 56557373644819. The reversal of 56557373644800 is 844637375565.

56557373644800 is a `hidden beast` number, since 5 + 6 + 55 + 73 + 7 + 36 + 4 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2268).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 65840946771 + ... + 65840947629.

Almost surely, 2^{56557373644800} is an apocalyptic number.

56557373644800 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 56557373644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122500445510430).

56557373644800 is an abundant number, since it is smaller than the sum of its proper divisors (188443517376060).

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

56557373644800 is an frugal number, since it uses more digits than its factorization.

56557373644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 254016000, while the sum is 63.

The spelling of 56557373644800 in words is "fifty-six trillion, five hundred fifty-seven billion, three hundred seventy-three million, six hundred forty-four thousand, eight hundred".