5255616960 has 280 divisors, whose sum is σ = 20395820016. Its totient is φ = 1274019840.

The previous prime is 5255616851. The next prime is 5255616967. The reversal of 5255616960 is 696165525.

5255616960 is a `hidden beast` number, since 5 + 2 + 556 + 1 + 6 + 96 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5255616967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 275904 + ... + 294336.

Almost surely, 2^5255616960 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 5255616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10197910008).

5255616960 is an abundant number, since it is smaller than the sum of its proper divisors (15140203056).

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

5255616960 is a wasteful number, since it uses less digits than its factorization.

5255616960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18473 (or 18454 counting only the distinct ones).

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

The square root of 5255616960 is about 72495.6340754393. The cubic root of 5255616960 is about 1738.6329333517.

The spelling of 5255616960 in words is "five billion, two hundred fifty-five million, six hundred sixteen thousand, nine hundred sixty".