25685072784 has 320 divisors, whose sum is σ = 89803776000. Its totient is φ = 6951090816.

The previous prime is 25685072779. The next prime is 25685072797. The reversal of 25685072784 is 48727058652.

25685072784 is a `hidden beast` number, since 2 + 5 + 68 + 507 + 2 + 78 + 4 = 666.

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 25685072784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4651177 + ... + 4656695.

It is an arithmetic number, because the mean of its divisors is an integer number (280636800).

Almost surely, 2^25685072784 is an apocalyptic number.

25685072784 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 25685072784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44901888000).

25685072784 is an abundant number, since it is smaller than the sum of its proper divisors (64118703216).

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

25685072784 is an equidigital number, since it uses as much as digits as its factorization.

25685072784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5574 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 25685072784 in words is "twenty-five billion, six hundred eighty-five million, seventy-two thousand, seven hundred eighty-four".