5140711680 has 576 divisors, whose sum is σ = 18914031360. Its totient is φ = 1180827648.

The previous prime is 5140711637. The next prime is 5140711703. The reversal of 5140711680 is 861170415.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76727007 + ... + 76727073.

It is an arithmetic number, because the mean of its divisors is an integer number (32836860).

Almost surely, 2^5140711680 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 5140711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9457015680).

5140711680 is an abundant number, since it is smaller than the sum of its proper divisors (13773319680).

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

5140711680 is a wasteful number, since it uses less digits than its factorization.

5140711680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 5140711680 is about 71698.7564745721. The cubic root of 5140711680 is about 1725.8686857620.

The spelling of 5140711680 in words is "five billion, one hundred forty million, seven hundred eleven thousand, six hundred eighty".