25671340800000 has 2304 divisors, whose sum is σ = 114447924864000. Its totient is φ = 5553930240000.

The previous prime is 25671340799959. The next prime is 25671340800059. The reversal of 25671340800000 is 804317652.

25671340800000 is a `hidden beast` number, since 2 + 567 + 13 + 4 + 0 + 80 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22982399442 + ... + 22982400558.

It is an arithmetic number, because the mean of its divisors is an integer number (49673578500).

Almost surely, 2^{25671340800000} is an apocalyptic number.

25671340800000 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 25671340800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57223962432000).

25671340800000 is an abundant number, since it is smaller than the sum of its proper divisors (88776584064000).

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

25671340800000 is an equidigital number, since it uses as much as digits as its factorization.

25671340800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 25671340800000 in words is "twenty-five trillion, six hundred seventy-one billion, three hundred forty million, eight hundred thousand".