52157118240 has 240 divisors, whose sum is σ = 187989766272. Its totient is φ = 13612478976.

The previous prime is 52157118187. The next prime is 52157118241. The reversal of 52157118240 is 4281175125.

It is a happy number.

52157118240 is a `hidden beast` number, since 5 + 2 + 1 + 571 + 1 + 82 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 52157118195 and 52157118204.

It is not an unprimeable number, because it can be changed into a prime (52157118241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 566307 + ... + 651933.

Almost surely, 2^52157118240 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 52157118240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93994883136).

52157118240 is an abundant number, since it is smaller than the sum of its proper divisors (135832648032).

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

52157118240 is a wasteful number, since it uses less digits than its factorization.

52157118240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85701 (or 85684 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 52157118240 in words is "fifty-two billion, one hundred fifty-seven million, one hundred eighteen thousand, two hundred forty".