25797479752 has 96 divisors (see below), whose sum is σ = 53778816000. Its totient is φ = 11592141440.

The previous prime is 25797479731. The next prime is 25797479759.

25797479752 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (25797479759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55240623 + ... + 55241089.

It is an arithmetic number, because the mean of its divisors is an integer number (560196000).

Almost surely, 2^25797479752 is an apocalyptic number.

25797479752 is a gapful number since it is divisible by the number (22) 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 25797479752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26889408000).

25797479752 is an abundant number, since it is smaller than the sum of its proper divisors (27981336248).

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

25797479752 is a wasteful number, since it uses less digits than its factorization.

25797479752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1012 counting only the distinct ones).

The product of its digits is 77792400, while the sum is 64.

The spelling of 25797479752 in words is "twenty-five billion, seven hundred ninety-seven million, four hundred seventy-nine thousand, seven hundred fifty-two".