5900083200 has 672 divisors, whose sum is σ = 23890345920. Its totient is φ = 1415577600.

The previous prime is 5900083177. The next prime is 5900083219. The reversal of 5900083200 is 23800095.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60825552 + ... + 60825648.

It is an arithmetic number, because the mean of its divisors is an integer number (35551110).

Almost surely, 2^5900083200 is an apocalyptic number.

5900083200 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 5900083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11945172960).

5900083200 is an abundant number, since it is smaller than the sum of its proper divisors (17990262720).

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

5900083200 is a wasteful number, since it uses less digits than its factorization.

5900083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5900083200 is about 76811.9990626465. Note that the first 3 decimals coincide. The cubic root of 5900083200 is about 1806.9773630558.

Adding to 5900083200 its reverse (23800095), we get a palindrome (5923883295).

The spelling of 5900083200 in words is "five billion, nine hundred million, eighty-three thousand, two hundred".