13764872592160 has 192 divisors, whose sum is σ = 34126597451520. Its totient is φ = 5239384944640.

The previous prime is 13764872592143. The next prime is 13764872592167. The reversal of 13764872592160 is 6129527846731.

It is not an unprimeable number, because it can be changed into a prime (13764872592167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1290411147 + ... + 1290421813.

It is an arithmetic number, because the mean of its divisors is an integer number (177742695060).

It is a 1-persistent number, because it is pandigital, but 2⋅13764872592160 = 27529745184320 is not.

Almost surely, 2^{13764872592160} is an apocalyptic number.

13764872592160 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 13764872592160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17063298725760).

13764872592160 is an abundant number, since it is smaller than the sum of its proper divisors (20361724859360).

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

13764872592160 is a wasteful number, since it uses less digits than its factorization.

13764872592160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14699 (or 14691 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 61.

The spelling of 13764872592160 in words is "thirteen trillion, seven hundred sixty-four billion, eight hundred seventy-two million, five hundred ninety-two thousand, one hundred sixty".