5064107114880 has 768 divisors, whose sum is σ = 19591679278080. Its totient is φ = 1194676224000.

The previous prime is 5064107114873. The next prime is 5064107114959. The reversal of 5064107114880 is 884117014605.

5064107114880 is a `hidden beast` number, since 5 + 0 + 64 + 107 + 1 + 1 + 488 + 0 = 666.

It is a super-3 number, since 3×5064107114880³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1119632299 + ... + 1119636821.

It is an arithmetic number, because the mean of its divisors is an integer number (25509999060).

Almost surely, 2^{5064107114880} 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 5064107114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9795839639040).

5064107114880 is an abundant number, since it is smaller than the sum of its proper divisors (14527572163200).

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

5064107114880 is a wasteful number, since it uses less digits than its factorization.

5064107114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5031 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 5064107114880 in words is "five trillion, sixty-four billion, one hundred seven million, one hundred fourteen thousand, eight hundred eighty".