5900397600 has 144 divisors (see below), whose sum is σ = 19255955040. Its totient is φ = 1569331200.

The previous prime is 5900397589. The next prime is 5900397637. The reversal of 5900397600 is 67930095.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 978595 + ... + 984605.

It is an arithmetic number, because the mean of its divisors is an integer number (133721910).

Almost surely, 2^5900397600 is an apocalyptic number.

5900397600 is a gapful number since it is divisible by the number (50) 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 5900397600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9627977520).

5900397600 is an abundant number, since it is smaller than the sum of its proper divisors (13355557440).

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

5900397600 is a wasteful number, since it uses less digits than its factorization.

5900397600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6443 (or 6430 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 39.

The square root of 5900397600 is about 76814.0455906340. The cubic root of 5900397600 is about 1807.0094588514.

The spelling of 5900397600 in words is "five billion, nine hundred million, three hundred ninety-seven thousand, six hundred".