53901120 has 224 divisors, whose sum is σ = 210970368. Its totient is φ = 11354112.

The previous prime is 53901079. The next prime is 53901131. The reversal of 53901120 is 2110935.

53901120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87052 + ... + 87668.

It is an arithmetic number, because the mean of its divisors is an integer number (941832).

Almost surely, 2^53901120 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 53901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105485184).

53901120 is an abundant number, since it is smaller than the sum of its proper divisors (157069248).

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

53901120 is a wasteful number, since it uses less digits than its factorization.

53901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 53901120 is about 7341.7382138020. The cubic root of 53901120 is about 377.7454684659.

The spelling of 53901120 in words is "fifty-three million, nine hundred one thousand, one hundred twenty".