5178097680 has 320 divisors, whose sum is σ = 18795939840. Its totient is φ = 1154875392.

The previous prime is 5178097637. The next prime is 5178097693. The reversal of 5178097680 is 867908715.

It is a Cunningham number, because it is equal to 71959²-1.

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, 20148112 + ... + 20148368.

It is an arithmetic number, because the mean of its divisors is an integer number (58737312).

Almost surely, 2^5178097680 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 5178097680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9397969920).

5178097680 is an abundant number, since it is smaller than the sum of its proper divisors (13617842160).

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

5178097680 is a wasteful number, since it uses less digits than its factorization.

5178097680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 51.

The square root of 5178097680 is about 71958.9999930516. Note that the first 5 decimals coincide. The cubic root of 5178097680 is about 1730.0423970810.

The spelling of 5178097680 in words is "five billion, one hundred seventy-eight million, ninety-seven thousand, six hundred eighty".