5241957120 has 432 divisors, whose sum is σ = 19820586240. Its totient is φ = 1322790912.

The previous prime is 5241957079. The next prime is 5241957143. The reversal of 5241957120 is 217591425.

5241957120 is a `hidden beast` number, since 52 + 4 + 19 + 571 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×5241957120² = 54956228895837388800, which contains 22 as substring.

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

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, 5909317 + ... + 5910203.

Almost surely, 2^5241957120 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 5241957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9910293120).

5241957120 is an abundant number, since it is smaller than the sum of its proper divisors (14578629120).

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

5241957120 is an equidigital number, since it uses as much as digits as its factorization.

5241957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5241957120 is about 72401.3613131687. The cubic root of 5241957120 is about 1737.1253366027.

It can be divided in two parts, 5241 and 957120, that added together give a square (962361 = 981²).

The spelling of 5241957120 in words is "five billion, two hundred forty-one million, nine hundred fifty-seven thousand, one hundred twenty".