25879752800 has 144 divisors (see below), whose sum is σ = 72977172912. Its totient is φ = 8857190400.

The previous prime is 25879752799. The next prime is 25879752869. The reversal of 25879752800 is 825797852.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 63104 + ... + 236096.

It is an arithmetic number, because the mean of its divisors is an integer number (506785923).

Almost surely, 2^25879752800 is an apocalyptic number.

25879752800 is a gapful number since it is divisible by the number (20) 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 25879752800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36488586456).

25879752800 is an abundant number, since it is smaller than the sum of its proper divisors (47097420112).

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

25879752800 is a wasteful number, since it uses less digits than its factorization.

25879752800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173041 (or 173028 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 53.

The spelling of 25879752800 in words is "twenty-five billion, eight hundred seventy-nine million, seven hundred fifty-two thousand, eight hundred".