2725869922560 has 288 divisors, whose sum is σ = 9684684576000. Its totient is φ = 726024536064.

The previous prime is 2725869922549. The next prime is 2725869922679. The reversal of 2725869922560 is 652299685272.

2725869922560 is a `hidden beast` number, since 2 + 7 + 2 + 5 + 8 + 69 + 9 + 2 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28948836 + ... + 29042844.

It is an arithmetic number, because the mean of its divisors is an integer number (33627377000).

Almost surely, 2^{2725869922560} is an apocalyptic number.

2725869922560 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 2725869922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4842342288000).

2725869922560 is an abundant number, since it is smaller than the sum of its proper divisors (6958814653440).

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

2725869922560 is an equidigital number, since it uses as much as digits as its factorization.

2725869922560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94878 (or 94858 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 2725869922560 in words is "two trillion, seven hundred twenty-five billion, eight hundred sixty-nine million, nine hundred twenty-two thousand, five hundred sixty".