25755012288 has 448 divisors, whose sum is σ = 82515456000. Its totient is φ = 7857561600.

The previous prime is 25755012277. The next prime is 25755012307. The reversal of 25755012288 is 88221055752.

25755012288 is a `hidden beast` number, since 2 + 5 + 7 + 550 + 12 + 2 + 88 = 666.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91654708 + ... + 91654988.

Almost surely, 2^25755012288 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 25755012288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41257728000).

25755012288 is an abundant number, since it is smaller than the sum of its proper divisors (56760443712).

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

25755012288 is a wasteful number, since it uses less digits than its factorization.

25755012288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 25755012288 in words is "twenty-five billion, seven hundred fifty-five million, twelve thousand, two hundred eighty-eight".