25878068336640 has 768 divisors, whose sum is σ = 95813300943360. Its totient is φ = 5905695375360.

The previous prime is 25878068336633. The next prime is 25878068336641. The reversal of 25878068336640 is 4663386087852.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25878068336641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 454842595 + ... + 454899485.

It is an arithmetic number, because the mean of its divisors is an integer number (124756902270).

Almost surely, 2^{25878068336640} is an apocalyptic number.

25878068336640 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 25878068336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47906650471680).

25878068336640 is an abundant number, since it is smaller than the sum of its proper divisors (69935232606720).

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

25878068336640 is a wasteful number, since it uses less digits than its factorization.

25878068336640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57018 (or 56998 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 66.

The spelling of 25878068336640 in words is "twenty-five trillion, eight hundred seventy-eight billion, sixty-eight million, three hundred thirty-six thousand, six hundred forty".