25964400000 has 768 divisors, whose sum is σ = 107858096640. Its totient is φ = 5376000000.

The previous prime is 25964399933. The next prime is 25964400013. The reversal of 25964400000 is 446952.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92399860 + ... + 92400140.

It is an arithmetic number, because the mean of its divisors is an integer number (140440230).

Almost surely, 2^25964400000 is an apocalyptic number.

25964400000 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 25964400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53929048320).

25964400000 is an abundant number, since it is smaller than the sum of its proper divisors (81893696640).

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

25964400000 is an equidigital number, since it uses as much as digits as its factorization.

25964400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 25964400000 its reverse (446952), we get a palindrome (25964846952).

The spelling of 25964400000 in words is "twenty-five billion, nine hundred sixty-four million, four hundred thousand".