5590840320 has 880 divisors, whose sum is σ = 23219170128. Its totient is φ = 1274019840.

The previous prime is 5590840291. The next prime is 5590840331. The reversal of 5590840320 is 230480955.

5590840320 is a `hidden beast` number, since 5 + 590 + 8 + 40 + 3 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 931958784 + 4658881536 = 30528^2 + 68256^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 91653090 + ... + 91653150.

Almost surely, 2^5590840320 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 5590840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11609585064).

5590840320 is an abundant number, since it is smaller than the sum of its proper divisors (17628329808).

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

5590840320 is a wasteful number, since it uses less digits than its factorization.

5590840320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5590840320 is about 74771.9220028481. The cubic root of 5590840320 is about 1774.8392707731.

The spelling of 5590840320 in words is "five billion, five hundred ninety million, eight hundred forty thousand, three hundred twenty".