5585610690 has 384 divisors, whose sum is σ = 17845401600. Its totient is φ = 1229385600.

The previous prime is 5585610673. The next prime is 5585610703. The reversal of 5585610690 is 960165855.

It is a happy number.

5585610690 is a `hidden beast` number, since 5 + 585 + 6 + 1 + 0 + 69 + 0 = 666.

It is a super-2 number, since 2×5585610690² = 62398093560484552200, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54229179 + ... + 54229281.

It is an arithmetic number, because the mean of its divisors is an integer number (46472400).

Almost surely, 2^5585610690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5585610690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8922700800).

5585610690 is an abundant number, since it is smaller than the sum of its proper divisors (12259790910).

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

5585610690 is a wasteful number, since it uses less digits than its factorization.

5585610690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 5585610690 is about 74736.9432743941. The cubic root of 5585610690 is about 1774.2857077011.

The spelling of 5585610690 in words is "five billion, five hundred eighty-five million, six hundred ten thousand, six hundred ninety".