25859578752 has 256 divisors, whose sum is σ = 87393600000. Its totient is φ = 7374163968.

The previous prime is 25859578751. The next prime is 25859578769. The reversal of 25859578752 is 25787595852.

25859578752 is a `hidden beast` number, since 2 + 5 + 8 + 5 + 9 + 578 + 7 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 25859578752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25859578751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24651124 + ... + 24652172.

It is an arithmetic number, because the mean of its divisors is an integer number (341381250).

Almost surely, 2^25859578752 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 25859578752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43696800000).

25859578752 is an abundant number, since it is smaller than the sum of its proper divisors (61534021248).

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

25859578752 is a wasteful number, since it uses less digits than its factorization.

25859578752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2080 counting only the distinct ones).

The product of its digits is 70560000, while the sum is 63.

The spelling of 25859578752 in words is "twenty-five billion, eight hundred fifty-nine million, five hundred seventy-eight thousand, seven hundred fifty-two".