5016116415024 has 480 divisors, whose sum is σ = 17488289302848. Its totient is φ = 1318625280000.

The previous prime is 5016116414983. The next prime is 5016116415119. The reversal of 5016116415024 is 4205146116105.

5016116415024 is a `hidden beast` number, since 5 + 0 + 1 + 6 + 1 + 1 + 641 + 5 + 0 + 2 + 4 = 666.

It is a super-3 number, since 3×5016116415024³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5016116415024.

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, 245384644 + ... + 245405084.

Almost surely, 2^{5016116415024} 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 5016116415024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8744144651424).

5016116415024 is an abundant number, since it is smaller than the sum of its proper divisors (12472172887824).

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

5016116415024 is a wasteful number, since it uses less digits than its factorization.

5016116415024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21197 (or 21188 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 5016116415024 in words is "five trillion, sixteen billion, one hundred sixteen million, four hundred fifteen thousand, twenty-four".