25823566852272 has 400 divisors, whose sum is σ = 89975459059200. Its totient is φ = 6985048919040.

The previous prime is 25823566852241. The next prime is 25823566852283. The reversal of 25823566852272 is 27225866532852.

25823566852272 is a `hidden beast` number, since 2 + 5 + 8 + 2 + 35 + 6 + 6 + 8 + 522 + 72 = 666.

It is a super-2 number, since 2×25823566852272² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 255226429 + ... + 255327587.

It is an arithmetic number, because the mean of its divisors is an integer number (224938647648).

Almost surely, 2^{25823566852272} 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 25823566852272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44987729529600).

25823566852272 is an abundant number, since it is smaller than the sum of its proper divisors (64151892206928).

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

25823566852272 is a wasteful number, since it uses less digits than its factorization.

25823566852272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102686 (or 102671 counting only the distinct ones).

The product of its digits is 193536000, while the sum is 63.

The spelling of 25823566852272 in words is "twenty-five trillion, eight hundred twenty-three billion, five hundred sixty-six million, eight hundred fifty-two thousand, two hundred seventy-two".