25640987980608 has 2016 divisors, whose sum is σ = 110296210647168. Its totient is φ = 5785642598400.

The previous prime is 25640987980607. The next prime is 25640987980613. The reversal of 25640987980608 is 80608978904652.

25640987980608 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 0 + 9 + 8 + 7 + 9 + 8 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25640987980607) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1852531768 + ... + 1852545608.

It is an arithmetic number, because the mean of its divisors is an integer number (54710421948).

Almost surely, 2^{25640987980608} is an apocalyptic number.

25640987980608 is a gapful number since it is divisible by the number (28) 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 25640987980608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55148105323584).

25640987980608 is an abundant number, since it is smaller than the sum of its proper divisors (84655222666560).

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

25640987980608 is a wasteful number, since it uses less digits than its factorization.

25640987980608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13923 (or 13894 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 25640987980608 in words is "twenty-five trillion, six hundred forty billion, nine hundred eighty-seven million, nine hundred eighty thousand, six hundred eight".