5105875290417 has 96 divisors (see below), whose sum is σ = 8611103654400. Its totient is φ = 2882682950400.

The previous prime is 5105875290413. The next prime is 5105875290449. The reversal of 5105875290417 is 7140925785015.

5105875290417 is a `hidden beast` number, since 5 + 1 + 0 + 587 + 52 + 9 + 0 + 4 + 1 + 7 = 666.

It is not a de Polignac number, because 5105875290417 - 2² = 5105875290413 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5105875290413) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45394434 + ... + 45506772.

It is an arithmetic number, because the mean of its divisors is an integer number (89698996400).

Almost surely, 2^{5105875290417} is an apocalyptic number.

5105875290417 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

5105875290417 is a deficient number, since it is larger than the sum of its proper divisors (3505228363983).

5105875290417 is a wasteful number, since it uses less digits than its factorization.

5105875290417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112779 (or 112776 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 54.

The spelling of 5105875290417 in words is "five trillion, one hundred five billion, eight hundred seventy-five million, two hundred ninety thousand, four hundred seventeen".