25755057504 has 144 divisors (see below), whose sum is σ = 80646995520. Its totient is φ = 7731521280.

The previous prime is 25755057491. The next prime is 25755057521. The reversal of 25755057504 is 40575055752.

25755057504 is a `hidden beast` number, since 2 + 5 + 75 + 5 + 0 + 575 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 25755057504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300987 + ... + 376965.

It is an arithmetic number, because the mean of its divisors is an integer number (560048580).

Almost surely, 2^25755057504 is an apocalyptic number.

25755057504 is a gapful number since it is divisible by the number (24) 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 25755057504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40323497760).

25755057504 is an abundant number, since it is smaller than the sum of its proper divisors (54891938016).

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

25755057504 is a wasteful number, since it uses less digits than its factorization.

25755057504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76113 (or 76102 counting only the distinct ones).

The product of its (nonzero) digits is 1225000, while the sum is 45.

The spelling of 25755057504 in words is "twenty-five billion, seven hundred fifty-five million, fifty-seven thousand, five hundred four".