5725900800 has 624 divisors, whose sum is σ = 22345048000. Its totient is φ = 1433272320.

The previous prime is 5725900793. The next prime is 5725900801. The reversal of 5725900800 is 80095275.

5725900800 is a `hidden beast` number, since 572 + 5 + 9 + 0 + 0 + 80 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5725900801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52531146 + ... + 52531254.

Almost surely, 2^5725900800 is an apocalyptic number.

5725900800 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 5725900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11172524000).

5725900800 is an abundant number, since it is smaller than the sum of its proper divisors (16619147200).

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

5725900800 is a wasteful number, since it uses less digits than its factorization.

5725900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5725900800 is about 75669.6821719240. The cubic root of 5725900800 is about 1789.0175731121.

The spelling of 5725900800 in words is "five billion, seven hundred twenty-five million, nine hundred thousand, eight hundred".