53551653120 has 1080 divisors, whose sum is σ = 227363963904. Its totient is φ = 11997683712.

The previous prime is 53551653109. The next prime is 53551653157. The reversal of 53551653120 is 2135615535.

53551653120 is a `hidden beast` number, since 53 + 5 + 51 + 6 + 531 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

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 119 ways as a sum of consecutive naturals, for example, 421666497 + ... + 421666623.

Almost surely, 2^53551653120 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 53551653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113681981952).

53551653120 is an abundant number, since it is smaller than the sum of its proper divisors (173812310784).

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

53551653120 is a wasteful number, since it uses less digits than its factorization.

53551653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 53551653120 in words is "fifty-three billion, five hundred fifty-one million, six hundred fifty-three thousand, one hundred twenty".