53119200 has 72 divisors (see below), whose sum is σ = 172910808. Its totient is φ = 14164480.

The previous prime is 53119189. The next prime is 53119219. The reversal of 53119200 is 291135.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8667 + ... + 13466.

It is an arithmetic number, because the mean of its divisors is an integer number (2401539).

Almost surely, 2^53119200 is an apocalyptic number.

53119200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53119200 is an abundant number, since it is smaller than the sum of its proper divisors (119791608).

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

53119200 is a wasteful number, since it uses less digits than its factorization.

53119200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22156 (or 22143 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 53119200 is about 7288.2919809788. The cubic root of 53119200 is about 375.9099678809.

The spelling of 53119200 in words is "fifty-three million, one hundred nineteen thousand, two hundred".