5116149442800 has 2400 divisors, whose sum is σ = 21572227860480. Its totient is φ = 1159183872000.

The previous prime is 5116149442777. The next prime is 5116149442951. The reversal of 5116149442800 is 82449416115.

5116149442800 is a `hidden beast` number, since 5 + 1 + 1 + 614 + 9 + 4 + 4 + 28 + 0 + 0 = 666.

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 479 ways as a sum of consecutive naturals, for example, 57484825156 + ... + 57484825244.

Almost surely, 2^{5116149442800} is an apocalyptic number.

5116149442800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5116149442800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10786113930240).

5116149442800 is an abundant number, since it is smaller than the sum of its proper divisors (16456078417680).

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

5116149442800 is a wasteful number, since it uses less digits than its factorization.

5116149442800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 5116149442800 in words is "five trillion, one hundred sixteen billion, one hundred forty-nine million, four hundred forty-two thousand, eight hundred".