25878293683200 has 3960 divisors, whose sum is σ = 120690543564800. Its totient is φ = 5360438476800.

The previous prime is 25878293683189. The next prime is 25878293683201. The reversal of 25878293683200 is 238639287852.

25878293683200 is a `hidden beast` number, since 2 + 5 + 87 + 8 + 293 + 68 + 3 + 200 = 666.

25878293683200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25878293683201) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 130041676701 + ... + 130041676899.

Almost surely, 2^{25878293683200} is an apocalyptic number.

25878293683200 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 25878293683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60345271782400).

25878293683200 is an abundant number, since it is smaller than the sum of its proper divisors (94812249881600).

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

25878293683200 is a wasteful number, since it uses less digits than its factorization.

25878293683200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 25878293683200 in words is "twenty-five trillion, eight hundred seventy-eight billion, two hundred ninety-three million, six hundred eighty-three thousand, two hundred".