5590914658560 has 5760 divisors, whose sum is σ = 28719658598400. Its totient is φ = 1003290624000.

The previous prime is 5590914658499. The next prime is 5590914658561. The reversal of 5590914658560 is 658564190955.

5590914658560 is a `hidden beast` number, since 5 + 5 + 9 + 0 + 9 + 1 + 4 + 65 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is not an unprimeable number, because it can be changed into a prime (5590914658561) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 136363772140 + ... + 136363772180.

It is an arithmetic number, because the mean of its divisors is an integer number (4986051840).

Almost surely, 2^{5590914658560} 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 5590914658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14359829299200).

5590914658560 is an abundant number, since it is smaller than the sum of its proper divisors (23128743939840).

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

5590914658560 is a wasteful number, since it uses less digits than its factorization.

5590914658560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 58320000, while the sum is 63.

The spelling of 5590914658560 in words is "five trillion, five hundred ninety billion, nine hundred fourteen million, six hundred fifty-eight thousand, five hundred sixty".