11560054400064 has 63 divisors (see below), whose sum is σ = 33135042599607. Its totient is φ = 3853324266624.

The previous prime is 11560054400047. The next prime is 11560054400077. The reversal of 11560054400064 is 46000445006511.

The square root of 11560054400064 is 3400008.

It is a perfect power (a square), and thus also a powerful number.

11560054400064 is a `hidden beast` number, since 1 + 1 + 5 + 600 + 5 + 4 + 40 + 0 + 0 + 6 + 4 = 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 8 ways as a sum of consecutive naturals, for example, 81529359 + ... + 81671025.

Almost surely, 2^{11560054400064} is an apocalyptic number.

11560054400064 is the 3400008-th square number.

It is an amenable number.

11560054400064 is an abundant number, since it is smaller than the sum of its proper divisors (21574988199543).

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

11560054400064 is an frugal number, since it uses more digits than its factorization.

11560054400064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283352 (or 141672 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 11560054400064 by its sum of digits (36), we get a square (416161958402304 = 20400048²).

11560054400064 divided by its sum of digits (36) gives a square (321112622224 = 566668²).

Adding to 11560054400064 its reverse (46000445006511), we get a palindrome (57560499406575).

The spelling of 11560054400064 in words is "eleven trillion, five hundred sixty billion, fifty-four million, four hundred thousand, sixty-four".