2275853086080 has 2048 divisors, whose sum is σ = 9866575872000. Its totient is φ = 490985349120.

The previous prime is 2275853086057. The next prime is 2275853086093. The reversal of 2275853086080 is 806803585722.

2275853086080 is a `hidden beast` number, since 2 + 27 + 5 + 8 + 5 + 3 + 0 + 8 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17920102977 + ... + 17920103103.

It is an arithmetic number, because the mean of its divisors is an integer number (4817664000).

Almost surely, 2^{2275853086080} is an apocalyptic number.

2275853086080 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 2275853086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4933287936000).

2275853086080 is an abundant number, since it is smaller than the sum of its proper divisors (7590722785920).

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

2275853086080 is an equidigital number, since it uses as much as digits as its factorization.

2275853086080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 2275853086080 in words is "two trillion, two hundred seventy-five billion, eight hundred fifty-three million, eighty-six thousand, eighty".