53182344960 has 720 divisors, whose sum is σ = 198492349440. Its totient is φ = 13586227200.

The previous prime is 53182344913. The next prime is 53182344997. The reversal of 53182344960 is 6944328135.

53182344960 is a `hidden beast` number, since 5 + 318 + 234 + 49 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 352200885 + ... + 352201035.

Almost surely, 2^53182344960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53182344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99246174720).

53182344960 is an abundant number, since it is smaller than the sum of its proper divisors (145310004480).

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

53182344960 is a wasteful number, since it uses less digits than its factorization.

53182344960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 53182344960 in words is "fifty-three billion, one hundred eighty-two million, three hundred forty-four thousand, nine hundred sixty".