5357512800 has 144 divisors (see below), whose sum is σ = 19376416080. Its totient is φ = 1428664320.

The previous prime is 5357512793. The next prime is 5357512807. The reversal of 5357512800 is 82157535.

5357512800 is a `hidden beast` number, since 5 + 3 + 575 + 1 + 2 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5357512793) and next prime (5357512807).

It is a tau number, because it is divible by the number of its divisors (144).

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 (5357512807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102417 + ... + 145616.

It is an arithmetic number, because the mean of its divisors is an integer number (134558445).

Almost surely, 2^5357512800 is an apocalyptic number.

5357512800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5357512800 is an abundant number, since it is smaller than the sum of its proper divisors (14018903280).

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

5357512800 is a wasteful number, since it uses less digits than its factorization.

5357512800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248062 (or 248043 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 5357512800 is about 73195.0326183410. The cubic root of 5357512800 is about 1749.7972880843.

The spelling of 5357512800 in words is "five billion, three hundred fifty-seven million, five hundred twelve thousand, eight hundred".