53865900 has 108 divisors (see below), whose sum is σ = 184222584. Its totient is φ = 13056000.

The previous prime is 53865899. The next prime is 53865919. The reversal of 53865900 is 956835.

53865900 = T₁₉₈₄ + T₁₉₈₅ + ... + T₂₀₁₀.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7180 + ... + 12620.

Almost surely, 2^53865900 is an apocalyptic number.

53865900 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 53865900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92111292).

53865900 is an abundant number, since it is smaller than the sum of its proper divisors (130356684).

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

53865900 is a wasteful number, since it uses less digits than its factorization.

53865900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5472 (or 5462 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 53865900 is about 7339.3392073129. The cubic root of 53865900 is about 377.6631752211.

The spelling of 53865900 in words is "fifty-three million, eight hundred sixty-five thousand, nine hundred".