25858827072 has 448 divisors, whose sum is σ = 85862891520. Its totient is φ = 7576934400.

The previous prime is 25858827047. The next prime is 25858827073. The reversal of 25858827072 is 27072885852.

25858827072 is a `hidden beast` number, since 2 + 58 + 588 + 2 + 7 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25858827073) 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 63 ways as a sum of consecutive naturals, for example, 49443003 + ... + 49443525.

It is an arithmetic number, because the mean of its divisors is an integer number (191658240).

Almost surely, 2^25858827072 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 25858827072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42931445760).

25858827072 is an abundant number, since it is smaller than the sum of its proper divisors (60004064448).

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

25858827072 is a wasteful number, since it uses less digits than its factorization.

25858827072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 25858827072 in words is "twenty-five billion, eight hundred fifty-eight million, eight hundred twenty-seven thousand, seventy-two".