53265600 has 252 divisors, whose sum is σ = 197763384. Its totient is φ = 14100480.

The previous prime is 53265587. The next prime is 53265623. The reversal of 53265600 is 656235.

53265600 is a `hidden beast` number, since 5 + 3 + 2 + 656 + 0 + 0 = 666.

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

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, 388732 + ... + 388868.

Almost surely, 2^53265600 is an apocalyptic number.

53265600 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 53265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98881692).

53265600 is an abundant number, since it is smaller than the sum of its proper divisors (144497784).

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

53265600 is a wasteful number, since it uses less digits than its factorization.

53265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 53265600 is about 7298.3285757768. The cubic root of 53265600 is about 376.2549952796.

The spelling of 53265600 in words is "fifty-three million, two hundred sixty-five thousand, six hundred".