2565105190272 has 320 divisors, whose sum is σ = 7903036785600. Its totient is φ = 825367781376.

The previous prime is 2565105190267. The next prime is 2565105190301. The reversal of 2565105190272 is 2720915015652.

2565105190272 is a `hidden beast` number, since 2 + 5 + 65 + 1 + 0 + 519 + 0 + 2 + 72 = 666.

It is a super-3 number, since 3×2565105190272³ (a number of 38 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 39 ways as a sum of consecutive naturals, for example, 35536554 + ... + 35608662.

It is an arithmetic number, because the mean of its divisors is an integer number (24696989955).

Almost surely, 2^{2565105190272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2565105190272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951518392800).

2565105190272 is an abundant number, since it is smaller than the sum of its proper divisors (5337931595328).

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

2565105190272 is an equidigital number, since it uses as much as digits as its factorization.

2565105190272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72255 (or 72234 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 2565105190272 in words is "two trillion, five hundred sixty-five billion, one hundred five million, one hundred ninety thousand, two hundred seventy-two".