12992017772160 has 1152 divisors, whose sum is σ = 54557264361600. Its totient is φ = 2835246661632.

The previous prime is 12992017772119. The next prime is 12992017772177. The reversal of 12992017772160 is 6127771029921.

12992017772160 is a `hidden beast` number, since 1 + 299 + 20 + 177 + 7 + 2 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 12992017772097 and 12992017772106.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4277910162 + ... + 4277913198.

It is an arithmetic number, because the mean of its divisors is an integer number (47358736425).

Almost surely, 2^{12992017772160} is an apocalyptic number.

12992017772160 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 12992017772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27278632180800).

12992017772160 is an abundant number, since it is smaller than the sum of its proper divisors (41565246589440).

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

12992017772160 is a wasteful number, since it uses less digits than its factorization.

12992017772160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The spelling of 12992017772160 in words is "twelve trillion, nine hundred ninety-two billion, seventeen million, seven hundred seventy-two thousand, one hundred sixty".