5176874132640 has 288 divisors, whose sum is σ = 20193772749696. Its totient is φ = 1183053219840.

The previous prime is 5176874132611. The next prime is 5176874132659. The reversal of 5176874132640 is 462314786715.

5176874132640 is a `hidden beast` number, since 517 + 6 + 8 + 74 + 13 + 2 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54192759 + ... + 54288201.

It is an arithmetic number, because the mean of its divisors is an integer number (70117266492).

Almost surely, 2^{5176874132640} 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 5176874132640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10096886374848).

5176874132640 is an abundant number, since it is smaller than the sum of its proper divisors (15016898617056).

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

5176874132640 is a wasteful number, since it uses less digits than its factorization.

5176874132640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100852 (or 100841 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 5176874132640 in words is "five trillion, one hundred seventy-six billion, eight hundred seventy-four million, one hundred thirty-two thousand, six hundred forty".