56006560140300 has 864 divisors, whose sum is σ = 219828670064640. Its totient is φ = 11586700339200.

The previous prime is 56006560140283. The next prime is 56006560140341. The reversal of 56006560140300 is 304106560065.

56006560140300 is a `hidden beast` number, since 5 + 6 + 0 + 0 + 6 + 5 + 601 + 40 + 3 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19252855246 + ... + 19252858154.

Almost surely, 2^{56006560140300} is an apocalyptic number.

56006560140300 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 56006560140300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109914335032320).

56006560140300 is an abundant number, since it is smaller than the sum of its proper divisors (163822109924340).

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

56006560140300 is a wasteful number, since it uses less digits than its factorization.

56006560140300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4071 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 56006560140300 in words is "fifty-six trillion, six billion, five hundred sixty million, one hundred forty thousand, three hundred".