56538960589440 has 288 divisors, whose sum is σ = 227111380771860. Its totient is φ = 12923190927360.

The previous prime is 56538960589411. The next prime is 56538960589487. The reversal of 56538960589440 is 4498506983565.

It is a happy number.

56538960589440 is a `hidden beast` number, since 5 + 6 + 5 + 3 + 8 + 9 + 605 + 8 + 9 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54148523010624 + 2390437578816 = 7358568^2 + 1546104^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99878901 + ... + 100443380.

Almost surely, 2^{56538960589440} is an apocalyptic number.

It is an amenable number.

56538960589440 is an abundant number, since it is smaller than the sum of its proper divisors (170572420182420).

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

56538960589440 is a wasteful number, since it uses less digits than its factorization.

56538960589440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200322320 (or 200322298 counting only the distinct ones).

The product of its (nonzero) digits is 1119744000, while the sum is 72.

The spelling of 56538960589440 in words is "fifty-six trillion, five hundred thirty-eight billion, nine hundred sixty million, five hundred eighty-nine thousand, four hundred forty".