25243384320 has 1920 divisors, whose sum is σ = 123544092672. Its totient is φ = 4777574400.

The previous prime is 25243384291. The next prime is 25243384321. The reversal of 25243384320 is 2348334252.

25243384320 is a `hidden beast` number, since 2 + 5 + 243 + 384 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25243384321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 814302705 + ... + 814302735.

Almost surely, 2^25243384320 is an apocalyptic number.

25243384320 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 25243384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61772046336).

25243384320 is an abundant number, since it is smaller than the sum of its proper divisors (98300708352).

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

25243384320 is a wasteful number, since it uses less digits than its factorization.

25243384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 25243384320 in words is "twenty-five billion, two hundred forty-three million, three hundred eighty-four thousand, three hundred twenty".