53188920 has 128 divisors (see below), whose sum is σ = 187790400. Its totient is φ = 13344768.

The previous prime is 53188907. The next prime is 53188921. The reversal of 53188920 is 2988135.

53188920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×53188920² = 5658122421532800, which contains 22 as substring.

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 (53188921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16912 + ... + 19808.

Almost surely, 2^53188920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53188920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93895200).

53188920 is an abundant number, since it is smaller than the sum of its proper divisors (134601480).

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

53188920 is a wasteful number, since it uses less digits than its factorization.

53188920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 53188920 is about 7293.0734262038. The cubic root of 53188920 is about 376.0743590675.

The spelling of 53188920 in words is "fifty-three million, one hundred eighty-eight thousand, nine hundred twenty".