5107287000168 has 192 divisors, whose sum is σ = 14419904990400. Its totient is φ = 1693498959360.

The previous prime is 5107287000161. The next prime is 5107287000209. The reversal of 5107287000168 is 8610007827015.

It is a happy number.

5107287000168 is a `hidden beast` number, since 510 + 7 + 2 + 8 + 70 + 0 + 0 + 1 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (5107287000161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 530401978 + ... + 530411606.

It is an arithmetic number, because the mean of its divisors is an integer number (75103671825).

Almost surely, 2^{5107287000168} 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 5107287000168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7209952495200).

5107287000168 is an abundant number, since it is smaller than the sum of its proper divisors (9312617990232).

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

5107287000168 is a wasteful number, since it uses less digits than its factorization.

5107287000168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11054 (or 11038 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 5107287000168 in words is "five trillion, one hundred seven billion, two hundred eighty-seven million, one hundred sixty-eight", and thus it is an aban number.