5457189600 has 108 divisors (see below), whose sum is σ = 19243440216. Its totient is φ = 1455248640.

The previous prime is 5457189589. The next prime is 5457189613. The reversal of 5457189600 is 69817545.

5457189600 is a `hidden beast` number, since 545 + 7 + 18 + 96 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 371772 + ... + 386171.

It is an arithmetic number, because the mean of its divisors is an integer number (178180002).

Almost surely, 2^5457189600 is an apocalyptic number.

5457189600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5457189600 is an abundant number, since it is smaller than the sum of its proper divisors (13786250616).

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

5457189600 is a wasteful number, since it uses less digits than its factorization.

5457189600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757969 (or 757953 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5457189600 is about 73872.7933680594. The cubic root of 5457189600 is about 1760.5823658199.

The spelling of 5457189600 in words is "five billion, four hundred fifty-seven million, one hundred eighty-nine thousand, six hundred".