53881200 has 150 divisors (see below), whose sum is σ = 193491584. Its totient is φ = 14359680.

The previous prime is 53881189. The next prime is 53881253. The reversal of 53881200 is 218835.

It is a happy number.

53881200 is a `hidden beast` number, since 538 + 8 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31569 + ... + 33231.

Almost surely, 2^53881200 is an apocalyptic number.

53881200 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 53881200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96745792).

53881200 is an abundant number, since it is smaller than the sum of its proper divisors (139610384).

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

53881200 is a wasteful number, since it uses less digits than its factorization.

53881200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 53881200 is about 7340.3814614773. The cubic root of 53881200 is about 377.6989288214.

The spelling of 53881200 in words is "fifty-three million, eight hundred eighty-one thousand, two hundred".