53831625120 has 1152 divisors, whose sum is σ = 241087601664. Its totient is φ = 10627448832.

The previous prime is 53831625083. The next prime is 53831625191. The reversal of 53831625120 is 2152613835.

53831625120 is a `hidden beast` number, since 5 + 3 + 8 + 3 + 1 + 625 + 1 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 159737592 + ... + 159737928.

It is an arithmetic number, because the mean of its divisors is an integer number (209277432).

Almost surely, 2^53831625120 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 53831625120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120543800832).

53831625120 is an abundant number, since it is smaller than the sum of its proper divisors (187255976544).

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

53831625120 is a wasteful number, since it uses less digits than its factorization.

53831625120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 53831625120 in words is "fifty-three billion, eight hundred thirty-one million, six hundred twenty-five thousand, one hundred twenty".