25020899268288 has 672 divisors, whose sum is σ = 86936938444800. Its totient is φ = 6273585561600.

The previous prime is 25020899268229. The next prime is 25020899268307. The reversal of 25020899268288 is 88286299802052.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 1312114818 + ... + 1312133886.

Almost surely, 2^{25020899268288} is an apocalyptic number.

25020899268288 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 25020899268288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43468469222400).

25020899268288 is an abundant number, since it is smaller than the sum of its proper divisors (61916039176512).

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

25020899268288 is a wasteful number, since it uses less digits than its factorization.

25020899268288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19549 (or 19532 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 69.

The spelling of 25020899268288 in words is "twenty-five trillion, twenty billion, eight hundred ninety-nine million, two hundred sixty-eight thousand, two hundred eighty-eight".