5631252480 has 864 divisors, whose sum is σ = 24032408400. Its totient is φ = 1213857792.

The previous prime is 5631252421. The next prime is 5631252493. The reversal of 5631252480 is 842521365.

5631252480 is a `hidden beast` number, since 56 + 3 + 1 + 2 + 524 + 80 = 666.

It is a super-2 number, since 2×5631252480² = 63422008987012300800, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 130959339 + ... + 130959381.

Almost surely, 2^5631252480 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 5631252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12016204200).

5631252480 is an abundant number, since it is smaller than the sum of its proper divisors (18401155920).

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

5631252480 is a wasteful number, since it uses less digits than its factorization.

5631252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5631252480 is about 75041.6716231721. The cubic root of 5631252480 is about 1779.1053535561.

The spelling of 5631252480 in words is "five billion, six hundred thirty-one million, two hundred fifty-two thousand, four hundred eighty".