53160883200 has 660 divisors, whose sum is σ = 203444157312. Its totient is φ = 13702348800.

The previous prime is 53160883177. The next prime is 53160883207. The reversal of 53160883200 is 238806135.

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 (53160883207) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 64281187 + ... + 64282013.

Almost surely, 2^53160883200 is an apocalyptic number.

53160883200 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 53160883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101722078656).

53160883200 is an abundant number, since it is smaller than the sum of its proper divisors (150283274112).

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

53160883200 is a wasteful number, since it uses less digits than its factorization.

53160883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 53160883200 in words is "fifty-three billion, one hundred sixty million, eight hundred eighty-three thousand, two hundred".