5590416502944 has 768 divisors, whose sum is σ = 20776476672000. Its totient is φ = 1422637240320.

The previous prime is 5590416502933. The next prime is 5590416502987. The reversal of 5590416502944 is 4492056140955.

It is a happy number.

5590416502944 is a `hidden beast` number, since 5 + 5 + 9 + 0 + 41 + 6 + 502 + 94 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 875003302 + ... + 875009690.

It is an arithmetic number, because the mean of its divisors is an integer number (27052704000).

Almost surely, 2^{5590416502944} is an apocalyptic number.

5590416502944 is a gapful number since it is divisible by the number (54) 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 5590416502944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10388238336000).

5590416502944 is an abundant number, since it is smaller than the sum of its proper divisors (15186060169056).

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

5590416502944 is a wasteful number, since it uses less digits than its factorization.

5590416502944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6818 (or 6804 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 5590416502944 in words is "five trillion, five hundred ninety billion, four hundred sixteen million, five hundred two thousand, nine hundred forty-four".