53624551120 has 240 divisors, whose sum is σ = 152613089280. Its totient is φ = 17161224192.

The previous prime is 53624551117. The next prime is 53624551133. The reversal of 53624551120 is 2115542635.

53624551120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20552376 + ... + 20554984.

It is an arithmetic number, because the mean of its divisors is an integer number (635887872).

Almost surely, 2^53624551120 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 53624551120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76306544640).

53624551120 is an abundant number, since it is smaller than the sum of its proper divisors (98988538160).

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

53624551120 is a wasteful number, since it uses less digits than its factorization.

53624551120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The spelling of 53624551120 in words is "fifty-three billion, six hundred twenty-four million, five hundred fifty-one thousand, one hundred twenty".