25638893280 has 1536 divisors, whose sum is σ = 123959808000. Its totient is φ = 4917749760.

The previous prime is 25638893237. The next prime is 25638893311. The reversal of 25638893280 is 8239883652.

25638893280 is a `hidden beast` number, since 256 + 38 + 89 + 3 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1972222554 + ... + 1972222566.

It is an arithmetic number, because the mean of its divisors is an integer number (80703000).

Almost surely, 2^25638893280 is an apocalyptic number.

25638893280 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 25638893280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61979904000).

25638893280 is an abundant number, since it is smaller than the sum of its proper divisors (98320914720).

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

25638893280 is a wasteful number, since it uses less digits than its factorization.

25638893280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 25638893280 in words is "twenty-five billion, six hundred thirty-eight million, eight hundred ninety-three thousand, two hundred eighty".