5296872960 has 320 divisors, whose sum is σ = 18959054400. Its totient is φ = 1401716736.

The previous prime is 5296872949. The next prime is 5296872961. The reversal of 5296872960 is 692786925.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 5296872897 and 5296872906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5296872961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13616446 + ... + 13616834.

It is an arithmetic number, because the mean of its divisors is an integer number (59247045).

Almost surely, 2^5296872960 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 5296872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9479527200).

5296872960 is an abundant number, since it is smaller than the sum of its proper divisors (13662181440).

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

5296872960 is a wasteful number, since it uses less digits than its factorization.

5296872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 5296872960 is about 72779.6191251369. The cubic root of 5296872960 is about 1743.1704384510.

The spelling of 5296872960 in words is "five billion, two hundred ninety-six million, eight hundred seventy-two thousand, nine hundred sixty".