53164800 has 324 divisors, whose sum is σ = 207580464. Its totient is φ = 12902400.

The previous prime is 53164781. The next prime is 53164817. The reversal of 53164800 is 846135.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 748765 + ... + 748835.

Almost surely, 2^53164800 is an apocalyptic number.

53164800 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 53164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103790232).

53164800 is an abundant number, since it is smaller than the sum of its proper divisors (154415664).

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

53164800 is a wasteful number, since it uses less digits than its factorization.

53164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 53164800 is about 7291.4196148624. The cubic root of 53164800 is about 376.0175033349.

The spelling of 53164800 in words is "fifty-three million, one hundred sixty-four thousand, eight hundred".