5168136760416 has 576 divisors, whose sum is σ = 17809688332800. Its totient is φ = 1473648422400.

The previous prime is 5168136760399. The next prime is 5168136760429. The reversal of 5168136760416 is 6140676318615.

It is a happy number.

5168136760416 is a `hidden beast` number, since 5 + 1 + 6 + 8 + 13 + 6 + 7 + 604 + 16 = 666.

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

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, 1565625966 + ... + 1565629266.

It is an arithmetic number, because the mean of its divisors is an integer number (30919597800).

Almost surely, 2^{5168136760416} is an apocalyptic number.

5168136760416 is a gapful number since it is divisible by the number (56) 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 5168136760416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8904844166400).

5168136760416 is an abundant number, since it is smaller than the sum of its proper divisors (12641551572384).

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

5168136760416 is an equidigital number, since it uses as much as digits as its factorization.

5168136760416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3934 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 5168136760416 in words is "five trillion, one hundred sixty-eight billion, one hundred thirty-six million, seven hundred sixty thousand, four hundred sixteen".