25848974067840 has 3072 divisors, whose sum is σ = 122771187302400. Its totient is φ = 5034548183040.

The previous prime is 25848974067827. The next prime is 25848974067871. The reversal of 25848974067840 is 4876047984852.

25848974067840 is a `hidden beast` number, since 2 + 5 + 8 + 489 + 7 + 4 + 0 + 67 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23435152729 + ... + 23435153831.

It is an arithmetic number, because the mean of its divisors is an integer number (39964579200).

Almost surely, 2^{25848974067840} is an apocalyptic number.

25848974067840 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 25848974067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61385593651200).

25848974067840 is an abundant number, since it is smaller than the sum of its proper divisors (96922213234560).

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

25848974067840 is a wasteful number, since it uses less digits than its factorization.

25848974067840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 25848974067840 in words is "twenty-five trillion, eight hundred forty-eight billion, nine hundred seventy-four million, sixty-seven thousand, eight hundred forty".