25814464000 has 640 divisors, whose sum is σ = 77215057920. Its totient is φ = 8515584000.

The previous prime is 25814463989. The next prime is 25814464001. The reversal of 25814464000 is 46441852.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25814464001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 363583965 + ... + 363584035.

It is an arithmetic number, because the mean of its divisors is an integer number (120648528).

Almost surely, 2^25814464000 is an apocalyptic number.

25814464000 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 25814464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38607528960).

25814464000 is an abundant number, since it is smaller than the sum of its proper divisors (51400593920).

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

25814464000 is a wasteful number, since it uses less digits than its factorization.

25814464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 25814464000 in words is "twenty-five billion, eight hundred fourteen million, four hundred sixty-four thousand".