25271240380848 has 720 divisors, whose sum is σ = 95697482969088. Its totient is φ = 6076013644800.

The previous prime is 25271240380847. The next prime is 25271240380931. The reversal of 25271240380848 is 84808304217252.

It is a happy number.

25271240380848 is a `hidden beast` number, since 2 + 52 + 71 + 2 + 403 + 80 + 8 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 25271240380794 and 25271240380803.

It is not an unprimeable number, because it can be changed into a prime (25271240380847) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 86817886 + ... + 87108482.

Almost surely, 2^{25271240380848} is an apocalyptic number.

25271240380848 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 25271240380848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47848741484544).

25271240380848 is an abundant number, since it is smaller than the sum of its proper divisors (70426242588240).

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

25271240380848 is a wasteful number, since it uses less digits than its factorization.

25271240380848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290694 (or 290674 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 25271240380848 in words is "twenty-five trillion, two hundred seventy-one billion, two hundred forty million, three hundred eighty thousand, eight hundred forty-eight".