5105221759872 has 192 divisors, whose sum is σ = 15968733122160. Its totient is φ = 1556156252160.

The previous prime is 5105221759853. The next prime is 5105221759873. The reversal of 5105221759872 is 2789571225015.

5105221759872 is a `hidden beast` number, since 5 + 10 + 5 + 22 + 17 + 598 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105221759873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9472 + ... + 3195392.

Almost surely, 2^{5105221759872} is an apocalyptic number.

5105221759872 is a gapful number since it is divisible by the number (52) 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 5105221759872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7984366561080).

5105221759872 is an abundant number, since it is smaller than the sum of its proper divisors (10863511362288).

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

5105221759872 is a wasteful number, since it uses less digits than its factorization.

5105221759872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3186061 (or 3186046 counting only the distinct ones).

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

The spelling of 5105221759872 in words is "five trillion, one hundred five billion, two hundred twenty-one million, seven hundred fifty-nine thousand, eight hundred seventy-two".