5600591216640 has 1104 divisors, whose sum is σ = 23157387157632. Its totient is φ = 1271981408256.

The previous prime is 5600591216639. The next prime is 5600591216657. The reversal of 5600591216640 is 466121950065.

5600591216640 is a `hidden beast` number, since 5 + 6 + 0 + 0 + 591 + 2 + 16 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35672555442 + ... + 35672555598.

Almost surely, 2^{5600591216640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5600591216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11578693578816).

5600591216640 is an abundant number, since it is smaller than the sum of its proper divisors (17556795940992).

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

5600591216640 is an frugal number, since it uses more digits than its factorization.

5600591216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 5600591216640 in words is "five trillion, six hundred billion, five hundred ninety-one million, two hundred sixteen thousand, six hundred forty".