5901336800 has 72 divisors (see below), whose sum is σ = 14463199296. Its totient is φ = 2351267840.

The previous prime is 5901336799. The next prime is 5901336823. The reversal of 5901336800 is 86331095.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191249 + ... + 219951.

It is an arithmetic number, because the mean of its divisors is an integer number (200877768).

Almost surely, 2^5901336800 is an apocalyptic number.

5901336800 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 5901336800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7231599648).

5901336800 is an abundant number, since it is smaller than the sum of its proper divisors (8561862496).

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

5901336800 is a wasteful number, since it uses less digits than its factorization.

5901336800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28980 (or 28967 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 5901336800 is about 76820.1588126450. The cubic root of 5901336800 is about 1807.1053311049.

Adding to 5901336800 its reverse (86331095), we get a palindrome (5987667895).

The spelling of 5901336800 in words is "five billion, nine hundred one million, three hundred thirty-six thousand, eight hundred".