5168014267900 has 72 divisors (see below), whose sum is σ = 12240140080896. Its totient is φ = 1878349982400.

The previous prime is 5168014267877. The next prime is 5168014267961. The reversal of 5168014267900 is 97624108615.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1070797 + ... + 3388603.

It is an arithmetic number, because the mean of its divisors is an integer number (170001945568).

Almost surely, 2^{5168014267900} is an apocalyptic number.

5168014267900 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 5168014267900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6120070040448).

5168014267900 is an abundant number, since it is smaller than the sum of its proper divisors (7072125812996).

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

5168014267900 is a wasteful number, since it uses less digits than its factorization.

5168014267900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319859 (or 2319852 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 5168014267900 in words is "five trillion, one hundred sixty-eight billion, fourteen million, two hundred sixty-seven thousand, nine hundred".