5061288960 has 1056 divisors, whose sum is σ = 23175839232. Its totient is φ = 990904320.

The previous prime is 5061288919. The next prime is 5061288961. The reversal of 5061288960 is 698821605.

5061288960 is a `hidden beast` number, since 506 + 1 + 2 + 8 + 89 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5061288961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71285725 + ... + 71285795.

Almost surely, 2^5061288960 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 5061288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11587919616).

5061288960 is an abundant number, since it is smaller than the sum of its proper divisors (18114550272).

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

5061288960 is a wasteful number, since it uses less digits than its factorization.

5061288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 5061288960 is about 71142.7365231335. The cubic root of 5061288960 is about 1716.9344349122.

The spelling of 5061288960 in words is "five billion, sixty-one million, two hundred eighty-eight thousand, nine hundred sixty".