25678978698240 has 2112 divisors, whose sum is σ = 113139799228800. Its totient is φ = 5488024485888.

The previous prime is 25678978698227. The next prime is 25678978698277. The reversal of 25678978698240 is 4289687987652.

25678978698240 is a `hidden beast` number, since 2 + 567 + 8 + 9 + 7 + 8 + 6 + 9 + 8 + 2 + 40 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 25678978698240.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19921627516 + ... + 19921628804.

Almost surely, 2^{25678978698240} is an apocalyptic number.

25678978698240 is a gapful number since it is divisible by the number (20) 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 25678978698240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56569899614400).

25678978698240 is an abundant number, since it is smaller than the sum of its proper divisors (87460820530560).

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

25678978698240 is a wasteful number, since it uses less digits than its factorization.

25678978698240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 5852528640, while the sum is 81.

The spelling of 25678978698240 in words is "twenty-five trillion, six hundred seventy-eight billion, nine hundred seventy-eight million, six hundred ninety-eight thousand, two hundred forty".