5900518800 has 360 divisors, whose sum is σ = 22559359680. Its totient is φ = 1416268800.

The previous prime is 5900518783. The next prime is 5900518807. The reversal of 5900518800 is 88150095.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×5900518800² = 69632244218306880000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5900518807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4315717 + ... + 4317083.

It is an arithmetic number, because the mean of its divisors is an integer number (62664888).

Almost surely, 2^5900518800 is an apocalyptic number.

5900518800 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 5900518800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11279679840).

5900518800 is an abundant number, since it is smaller than the sum of its proper divisors (16658840880).

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

5900518800 is a wasteful number, since it uses less digits than its factorization.

5900518800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 5900518800 is about 76814.8345048012. The cubic root of 5900518800 is about 1807.0218313536.

Adding to 5900518800 its reverse (88150095), we get a palindrome (5988668895).

The spelling of 5900518800 in words is "five billion, nine hundred million, five hundred eighteen thousand, eight hundred".