5167124976000 has 1536 divisors, whose sum is σ = 19906885814400. Its totient is φ = 1180827648000.

The previous prime is 5167124975951. The next prime is 5167124976011. The reversal of 5167124976000 is 6794217615.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12273455790 + ... + 12273456210.

Almost surely, 2^{5167124976000} is an apocalyptic number.

5167124976000 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 5167124976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9953442907200).

5167124976000 is an abundant number, since it is smaller than the sum of its proper divisors (14739760838400).

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

5167124976000 is a wasteful number, since it uses less digits than its factorization.

5167124976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 5167124976000 in words is "five trillion, one hundred sixty-seven billion, one hundred twenty-four million, nine hundred seventy-six thousand".