25525151568 has 480 divisors, whose sum is σ = 91800124416. Its totient is φ = 6699055104.

The previous prime is 25525151501. The next prime is 25525151591. The reversal of 25525151568 is 86515152552.

25525151568 is a `hidden beast` number, since 2 + 55 + 25 + 1 + 515 + 68 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 19894255 + ... + 19895537.

Almost surely, 2^25525151568 is an apocalyptic number.

25525151568 is a gapful number since it is divisible by the number (28) 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 25525151568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45900062208).

25525151568 is an abundant number, since it is smaller than the sum of its proper divisors (66274972848).

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

25525151568 is a wasteful number, since it uses less digits than its factorization.

25525151568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1355 counting only the distinct ones).

The product of its digits is 600000, while the sum is 45.

The spelling of 25525151568 in words is "twenty-five billion, five hundred twenty-five million, one hundred fifty-one thousand, five hundred sixty-eight".