5130876960 has 768 divisors, whose sum is σ = 20948336640. Its totient is φ = 1175731200.

The previous prime is 5130876953. The next prime is 5130876973. The reversal of 5130876960 is 696780315.

5130876960 = 27³ + 28³ + ... + 378³.

It is a happy number.

5130876960 is a `hidden beast` number, since 513 + 0 + 8 + 76 + 9 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119322699 + ... + 119322741.

It is an arithmetic number, because the mean of its divisors is an integer number (27276480).

Almost surely, 2^5130876960 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 5130876960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10474168320).

5130876960 is an abundant number, since it is smaller than the sum of its proper divisors (15817459680).

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

5130876960 is a wasteful number, since it uses less digits than its factorization.

5130876960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 5130876960 is about 71630.1400249923. The cubic root of 5130876960 is about 1724.7673939667.

The spelling of 5130876960 in words is "five billion, one hundred thirty million, eight hundred seventy-six thousand, nine hundred sixty".