25867296000 has 1728 divisors, whose sum is σ = 122137666560. Its totient is φ = 5341593600.

The previous prime is 25867295983. The next prime is 25867296029. The reversal of 25867296000 is 69276852.

25867296000 is a `hidden beast` number, since 2 + 586 + 7 + 2 + 9 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 550367977 + ... + 550368023.

It is an arithmetic number, because the mean of its divisors is an integer number (70681520).

Almost surely, 2^25867296000 is an apocalyptic number.

25867296000 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 25867296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61068833280).

25867296000 is an abundant number, since it is smaller than the sum of its proper divisors (96270370560).

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

25867296000 is a wasteful number, since it uses less digits than its factorization.

25867296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 25867296000 in words is "twenty-five billion, eight hundred sixty-seven million, two hundred ninety-six thousand".