5599752960 has 576 divisors, whose sum is σ = 20344504320. Its totient is φ = 1305722880.

The previous prime is 5599752947. The next prime is 5599752973. The reversal of 5599752960 is 692579955.

It is an interprime number because it is at equal distance from previous prime (5599752947) and next prime (5599752973).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 5599752960.

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, 78869725 + ... + 78869795.

It is an arithmetic number, because the mean of its divisors is an integer number (35320320).

Almost surely, 2^5599752960 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 5599752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10172252160).

5599752960 is an abundant number, since it is smaller than the sum of its proper divisors (14744751360).

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

5599752960 is a wasteful number, since it uses less digits than its factorization.

5599752960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 7654500, while the sum is 57.

The square root of 5599752960 is about 74831.4971118446. The cubic root of 5599752960 is about 1775.7818902673.

The spelling of 5599752960 in words is "five billion, five hundred ninety-nine million, seven hundred fifty-two thousand, nine hundred sixty".