2798906572800 has 1632 divisors, whose sum is σ = 11504384783360. Its totient is φ = 662490316800.

The previous prime is 2798906572753. The next prime is 2798906572823. The reversal of 2798906572800 is 82756098972.

2798906572800 is a `hidden beast` number, since 279 + 89 + 0 + 6 + 5 + 7 + 280 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17827430322 + ... + 17827430478.

Almost surely, 2^{2798906572800} is an apocalyptic number.

2798906572800 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 2798906572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5752192391680).

2798906572800 is an abundant number, since it is smaller than the sum of its proper divisors (8705478210560).

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

2798906572800 is a wasteful number, since it uses less digits than its factorization.

2798906572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 2798906572800 in words is "two trillion, seven hundred ninety-eight billion, nine hundred six million, five hundred seventy-two thousand, eight hundred".