25791742080 has 768 divisors, whose sum is σ = 101796065280. Its totient is φ = 5971968000.

The previous prime is 25791742063. The next prime is 25791742087. The reversal of 25791742080 is 8024719752.

It is a happy number.

25791742080 is a `hidden beast` number, since 2 + 579 + 1 + 74 + 2 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (25791742087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95172345 + ... + 95172615.

It is an arithmetic number, because the mean of its divisors is an integer number (132546960).

Almost surely, 2^25791742080 is an apocalyptic number.

25791742080 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 25791742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50898032640).

25791742080 is an abundant number, since it is smaller than the sum of its proper divisors (76004323200).

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

25791742080 is a wasteful number, since it uses less digits than its factorization.

25791742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 25791742080 in words is "twenty-five billion, seven hundred ninety-one million, seven hundred forty-two thousand, eighty".