25834008312 has 192 divisors, whose sum is σ = 85358707200. Its totient is φ = 6893994240.

The previous prime is 25834008311. The next prime is 25834008323. The reversal of 25834008312 is 21380043852.

25834008312 is a `hidden beast` number, since 2 + 583 + 40 + 0 + 8 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25834008311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660898 + ... + 698894.

It is an arithmetic number, because the mean of its divisors is an integer number (444576600).

Almost surely, 2^25834008312 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 25834008312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42679353600).

25834008312 is an abundant number, since it is smaller than the sum of its proper divisors (59524698888).

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

25834008312 is a wasteful number, since it uses less digits than its factorization.

25834008312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38106 (or 38099 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 25834008312 in words is "twenty-five billion, eight hundred thirty-four million, eight thousand, three hundred twelve".