12792821760 has 288 divisors, whose sum is σ = 44727621120. Its totient is φ = 3381460992.

The previous prime is 12792821731. The next prime is 12792821773. The reversal of 12792821760 is 6712829721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11703774 + ... + 11704866.

It is an arithmetic number, because the mean of its divisors is an integer number (155304240).

Almost surely, 2^12792821760 is an apocalyptic number.

12792821760 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 12792821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22363810560).

12792821760 is an abundant number, since it is smaller than the sum of its proper divisors (31934799360).

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

12792821760 is a wasteful number, since it uses less digits than its factorization.

12792821760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 12792821760 in words is "twelve billion, seven hundred ninety-two million, eight hundred twenty-one thousand, seven hundred sixty".