53250120576 has 320 divisors, whose sum is σ = 164186119680. Its totient is φ = 17118646272.

The previous prime is 53250120557. The next prime is 53250120593. The reversal of 53250120576 is 67502105235.

53250120576 is a `hidden beast` number, since 5 + 32 + 50 + 1 + 2 + 0 + 576 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 53250120576.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48718686 + ... + 48719778.

It is an arithmetic number, because the mean of its divisors is an integer number (513081624).

Almost surely, 2^53250120576 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 53250120576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82093059840).

53250120576 is an abundant number, since it is smaller than the sum of its proper divisors (110935999104).

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

53250120576 is a wasteful number, since it uses less digits than its factorization.

53250120576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 53250120576 in words is "fifty-three billion, two hundred fifty million, one hundred twenty thousand, five hundred seventy-six".