5116521719880 has 512 divisors, whose sum is σ = 17752525056000. Its totient is φ = 1309798563840.

The previous prime is 5116521719857. The next prime is 5116521719887. The reversal of 5116521719880 is 889171256115.

5116521719880 is a `hidden beast` number, since 5 + 1 + 165 + 217 + 198 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5116521719887) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1094909224 + ... + 1094913896.

It is an arithmetic number, because the mean of its divisors is an integer number (34672900500).

Almost surely, 2^{5116521719880} 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 5116521719880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8876262528000).

5116521719880 is an abundant number, since it is smaller than the sum of its proper divisors (12636003336120).

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

5116521719880 is a wasteful number, since it uses less digits than its factorization.

5116521719880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5126 (or 5116 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 54.

The spelling of 5116521719880 in words is "five trillion, one hundred sixteen billion, five hundred twenty-one million, seven hundred nineteen thousand, eight hundred eighty".