52743633120 has 576 divisors, whose sum is σ = 198177767424. Its totient is φ = 12730798080.

The previous prime is 52743633113. The next prime is 52743633133. The reversal of 52743633120 is 2133634725.

52743633120 is a `hidden beast` number, since 5 + 2 + 7 + 4 + 3 + 633 + 12 + 0 = 666.

52743633120 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48255294 + ... + 48256386.

It is an arithmetic number, because the mean of its divisors is an integer number (344058624).

Almost surely, 2^52743633120 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 52743633120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99088883712).

52743633120 is an abundant number, since it is smaller than the sum of its proper divisors (145434134304).

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

52743633120 is a wasteful number, since it uses less digits than its factorization.

52743633120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 52743633120 in words is "fifty-two billion, seven hundred forty-three million, six hundred thirty-three thousand, one hundred twenty".