5625516960 has 384 divisors, whose sum is σ = 23688806400. Its totient is φ = 1218032640.

The previous prime is 5625516931. The next prime is 5625516973. The reversal of 5625516960 is 696155265.

5625516960 is a `hidden beast` number, since 5 + 6 + 2 + 551 + 6 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 569665 + ... + 579455.

It is an arithmetic number, because the mean of its divisors is an integer number (61689600).

Almost surely, 2^5625516960 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 5625516960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11844403200).

5625516960 is an abundant number, since it is smaller than the sum of its proper divisors (18063289440).

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

5625516960 is a wasteful number, since it uses less digits than its factorization.

5625516960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9841 (or 9827 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 5625516960 is about 75003.4463208192. The cubic root of 5625516960 is about 1778.5011326965.

The spelling of 5625516960 in words is "five billion, six hundred twenty-five million, five hundred sixteen thousand, nine hundred sixty".