5017080176640 has 1680 divisors, whose sum is σ = 21174087508992. Its totient is φ = 1137731567616.

The previous prime is 5017080176599. The next prime is 5017080176701. The reversal of 5017080176640 is 466710807105.

5017080176640 is a `hidden beast` number, since 501 + 7 + 0 + 80 + 1 + 7 + 6 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 119 ways as a sum of consecutive naturals, for example, 39504568257 + ... + 39504568383.

Almost surely, 2^{5017080176640} 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 5017080176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10587043754496).

5017080176640 is an abundant number, since it is smaller than the sum of its proper divisors (16157007332352).

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

5017080176640 is an frugal number, since it uses more digits than its factorization.

5017080176640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 5017080176640 in words is "five trillion, seventeen billion, eighty million, one hundred seventy-six thousand, six hundred forty".