2796288168960 has 2464 divisors, whose sum is σ = 12268668625920. Its totient is φ = 605557555200.

The previous prime is 2796288168881. The next prime is 2796288168997. The reversal of 2796288168960 is 698618826972.

2796288168960 is a `hidden beast` number, since 279 + 6 + 288 + 16 + 8 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 90202844145 + ... + 90202844175.

Almost surely, 2^{2796288168960} is an apocalyptic number.

2796288168960 is a gapful number since it is divisible by the number (20) 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 2796288168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6134334312960).

2796288168960 is an abundant number, since it is smaller than the sum of its proper divisors (9472380456960).

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

2796288168960 is an equidigital number, since it uses as much as digits as its factorization.

2796288168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 2796288168960 in words is "two trillion, seven hundred ninety-six billion, two hundred eighty-eight million, one hundred sixty-eight thousand, nine hundred sixty".