25420792305888 has 1728 divisors, whose sum is σ = 94818984099840. Its totient is φ = 6657507376128.

The previous prime is 25420792305871. The next prime is 25420792305889. The reversal of 25420792305888 is 88850329702452.

It is a happy number.

25420792305888 is a `hidden beast` number, since 2 + 5 + 4 + 20 + 7 + 9 + 23 + 0 + 588 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25420792305889) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 39534668895 + ... + 39534669537.

It is an arithmetic number, because the mean of its divisors is an integer number (54872097280).

Almost surely, 2^{25420792305888} is an apocalyptic number.

25420792305888 is a gapful number since it is divisible by the number (28) 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 25420792305888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47409492049920).

25420792305888 is an abundant number, since it is smaller than the sum of its proper divisors (69398191793952).

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

25420792305888 is a wasteful number, since it uses less digits than its factorization.

25420792305888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 25420792305888 in words is "twenty-five trillion, four hundred twenty billion, seven hundred ninety-two million, three hundred five thousand, eight hundred eighty-eight".