2797781968800 has 864 divisors, whose sum is σ = 12676166798400. Its totient is φ = 590298347520.

The previous prime is 2797781968777. The next prime is 2797781968907. The reversal of 2797781968800 is 88691877972.

It is a tau number, because it is divible by the number of its divisors (864).

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

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, 13657531 + ... + 13860869.

It is an arithmetic number, because the mean of its divisors is an integer number (14671489350).

Almost surely, 2^{2797781968800} is an apocalyptic number.

2797781968800 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 2797781968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6338083399200).

2797781968800 is an abundant number, since it is smaller than the sum of its proper divisors (9878384829600).

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

2797781968800 is a wasteful number, since it uses less digits than its factorization.

2797781968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203395 (or 203369 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 72.

The spelling of 2797781968800 in words is "two trillion, seven hundred ninety-seven billion, seven hundred eighty-one million, nine hundred sixty-eight thousand, eight hundred".