25790918400 has 1080 divisors, whose sum is σ = 106265229840. Its totient is φ = 6131220480.

The previous prime is 25790918393. The next prime is 25790918437. The reversal of 25790918400 is 481909752.

It is a tau number, because it is divible by the number of its divisors (1080).

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 119 ways as a sum of consecutive naturals, for example, 289785556 + ... + 289785644.

Almost surely, 2^25790918400 is an apocalyptic number.

25790918400 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 25790918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53132614920).

25790918400 is an abundant number, since it is smaller than the sum of its proper divisors (80474311440).

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

25790918400 is a wasteful number, since it uses less digits than its factorization.

25790918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 25790918400 in words is "twenty-five billion, seven hundred ninety million, nine hundred eighteen thousand, four hundred".