25872864000 has 288 divisors, whose sum is σ = 86469539520. Its totient is φ = 6856704000.

The previous prime is 25872863987. The next prime is 25872864007. The reversal of 25872864000 is 46827852.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (25872864007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17375256 + ... + 17376744.

Almost surely, 2^25872864000 is an apocalyptic number.

25872864000 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 25872864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43234769760).

25872864000 is an abundant number, since it is smaller than the sum of its proper divisors (60596675520).

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

25872864000 is a wasteful number, since it uses less digits than its factorization.

25872864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 25872864000 in words is "twenty-five billion, eight hundred seventy-two million, eight hundred sixty-four thousand".