5295144960 has 768 divisors, whose sum is σ = 22900550400. Its totient is φ = 1146617856.

The previous prime is 5295144947. The next prime is 5295144971. The reversal of 5295144960 is 694415925.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278691831 + ... + 278691849.

It is an arithmetic number, because the mean of its divisors is an integer number (29818425).

Almost surely, 2^5295144960 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 5295144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11450275200).

5295144960 is an abundant number, since it is smaller than the sum of its proper divisors (17605405440).

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

5295144960 is an frugal number, since it uses more digits than its factorization.

5295144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 5295144960 is about 72767.7467014061. The cubic root of 5295144960 is about 1742.9808595455.

The spelling of 5295144960 in words is "five billion, two hundred ninety-five million, one hundred forty-four thousand, nine hundred sixty".