5152968576 has 560 divisors, whose sum is σ = 18736337160. Its totient is φ = 1408264704.

The previous prime is 5152968529. The next prime is 5152968589. The reversal of 5152968576 is 6758692515.

5152968576 is a `hidden beast` number, since 5 + 1 + 5 + 2 + 9 + 68 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4536000) is a multiple of the sum of its prime divisors (35).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 224042101 + ... + 224042123.

Almost surely, 2^5152968576 is an apocalyptic number.

5152968576 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5152968576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9368168580).

5152968576 is an abundant number, since it is smaller than the sum of its proper divisors (13583368584).

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

5152968576 is an frugal number, since it uses more digits than its factorization.

5152968576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 35 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The square root of 5152968576 is about 71784.1805413978. The cubic root of 5152968576 is about 1727.2392484618.

The spelling of 5152968576 in words is "five billion, one hundred fifty-two million, nine hundred sixty-eight thousand, five hundred seventy-six".