25105295088 has 160 divisors (see below), whose sum is σ = 76382968320. Its totient is φ = 7867653120.

The previous prime is 25105295081. The next prime is 25105295119. The reversal of 25105295088 is 88059250152.

It is a happy number.

25105295088 is a `hidden beast` number, since 2 + 510 + 5 + 2 + 9 + 50 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25105295081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13445931 + ... + 13447797.

It is an arithmetic number, because the mean of its divisors is an integer number (477393552).

Almost surely, 2^25105295088 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 25105295088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38191484160).

25105295088 is an abundant number, since it is smaller than the sum of its proper divisors (51277673232).

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

25105295088 is a wasteful number, since it uses less digits than its factorization.

25105295088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3732 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 25105295088 in words is "twenty-five billion, one hundred five million, two hundred ninety-five thousand, eighty-eight".