25878303360 has 768 divisors, whose sum is σ = 114866035200. Its totient is φ = 5457715200.

The previous prime is 25878303337. The next prime is 25878303361. The reversal of 25878303360 is 6330387852.

25878303360 is a `hidden beast` number, since 2 + 587 + 8 + 3 + 0 + 3 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (25878303361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11006185 + ... + 11008535.

It is an arithmetic number, because the mean of its divisors is an integer number (149565150).

Almost surely, 2^25878303360 is an apocalyptic number.

25878303360 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 25878303360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57433017600).

25878303360 is an abundant number, since it is smaller than the sum of its proper divisors (88987731840).

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

25878303360 is a wasteful number, since it uses less digits than its factorization.

25878303360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 25878303360 in words is "twenty-five billion, eight hundred seventy-eight million, three hundred three thousand, three hundred sixty".