25312893984 has 288 divisors, whose sum is σ = 89027527680. Its totient is φ = 6917467392.

The previous prime is 25312893901. The next prime is 25312894037. The reversal of 25312893984 is 48939821352.

25312893984 is a `hidden beast` number, since 2 + 531 + 28 + 9 + 3 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 25312893984.

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 47 ways as a sum of consecutive naturals, for example, 1241827 + ... + 1262045.

It is an arithmetic number, because the mean of its divisors is an integer number (309123360).

Almost surely, 2^25312893984 is an apocalyptic number.

25312893984 is a gapful number since it is divisible by the number (24) 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 25312893984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44513763840).

25312893984 is an abundant number, since it is smaller than the sum of its proper divisors (63714633696).

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

25312893984 is a wasteful number, since it uses less digits than its factorization.

25312893984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20274 (or 20254 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 25312893984 in words is "twenty-five billion, three hundred twelve million, eight hundred ninety-three thousand, nine hundred eighty-four".