5116147660800 has 2016 divisors, whose sum is σ = 21998120311440. Its totient is φ = 1165728153600.

The previous prime is 5116147660769. The next prime is 5116147660843. The reversal of 5116147660800 is 80667416115.

5116147660800 is a `hidden beast` number, since 5 + 116 + 1 + 476 + 60 + 8 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 6979737234 + ... + 6979737966.

Almost surely, 2^{5116147660800} is an apocalyptic number.

5116147660800 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 5116147660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10999060155720).

5116147660800 is an abundant number, since it is smaller than the sum of its proper divisors (16881972650640).

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

5116147660800 is a wasteful number, since it uses less digits than its factorization.

5116147660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 5116147660800 in words is "five trillion, one hundred sixteen billion, one hundred forty-seven million, six hundred sixty thousand, eight hundred".