5506644590496 has 768 divisors, whose sum is σ = 19189849190400. Its totient is φ = 1503061733376.

The previous prime is 5506644590449. The next prime is 5506644590501. The reversal of 5506644590496 is 6940954466055.

5506644590496 is a `hidden beast` number, since 5 + 5 + 0 + 66 + 445 + 90 + 49 + 6 = 666.

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

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, 10528956891 + ... + 10528957413.

It is an arithmetic number, because the mean of its divisors is an integer number (24986782800).

Almost surely, 2^{5506644590496} is an apocalyptic number.

5506644590496 is a gapful number since it is divisible by the number (56) 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 5506644590496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9594924595200).

5506644590496 is an abundant number, since it is smaller than the sum of its proper divisors (13683204599904).

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

5506644590496 is a wasteful number, since it uses less digits than its factorization.

5506644590496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 5506644590496 in words is "five trillion, five hundred six billion, six hundred forty-four million, five hundred ninety thousand, four hundred ninety-six".