5134660960 has 384 divisors, whose sum is σ = 15490911744. Its totient is φ = 1579253760.

The previous prime is 5134660957. The next prime is 5134660963. The reversal of 5134660960 is 690664315.

It is an interprime number because it is at equal distance from previous prime (5134660957) and next prime (5134660963).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5134660963) 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 63 ways as a sum of consecutive naturals, for example, 16725127 + ... + 16725433.

It is an arithmetic number, because the mean of its divisors is an integer number (40340916).

Almost surely, 2^5134660960 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 5134660960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7745455872).

5134660960 is an abundant number, since it is smaller than the sum of its proper divisors (10356250784).

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

5134660960 is a wasteful number, since it uses less digits than its factorization.

5134660960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 5134660960 is about 71656.5486190899. The cubic root of 5134660960 is about 1725.1912926556.

The spelling of 5134660960 in words is "five billion, one hundred thirty-four million, six hundred sixty thousand, nine hundred sixty".