13109624479776 has 384 divisors, whose sum is σ = 39339741692160. Its totient is φ = 3786080256000.

The previous prime is 13109624479753. The next prime is 13109624479807. The reversal of 13109624479776 is 67797442690131.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1042342800 + ... + 1042355376.

It is an arithmetic number, because the mean of its divisors is an integer number (102447243990).

Almost surely, 2^{13109624479776} is an apocalyptic number.

13109624479776 is a gapful number since it is divisible by the number (16) 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 13109624479776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19669870846080).

13109624479776 is an abundant number, since it is smaller than the sum of its proper divisors (26230117212384).

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

13109624479776 is a wasteful number, since it uses less digits than its factorization.

13109624479776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13068 (or 13060 counting only the distinct ones).

The product of its (nonzero) digits is 96018048, while the sum is 66.

The spelling of 13109624479776 in words is "thirteen trillion, one hundred nine billion, six hundred twenty-four million, four hundred seventy-nine thousand, seven hundred seventy-six".