15779107680 has 384 divisors, whose sum is σ = 60108023808. Its totient is φ = 3401367552.

The previous prime is 15779107679. The next prime is 15779107681. The reversal of 15779107680 is 8670197751.

It is an interprime number because it is at equal distance from previous prime (15779107679) and next prime (15779107681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15779107681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5640042 + ... + 5642838.

It is an arithmetic number, because the mean of its divisors is an integer number (156531312).

Almost surely, 2^15779107680 is an apocalyptic number.

15779107680 is a gapful number since it is divisible by the number (10) 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 15779107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30054011904).

15779107680 is an abundant number, since it is smaller than the sum of its proper divisors (44328916128).

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

15779107680 is a wasteful number, since it uses less digits than its factorization.

15779107680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 51.

The spelling of 15779107680 in words is "fifteen billion, seven hundred seventy-nine million, one hundred seven thousand, six hundred eighty".