25744870884096 has 1152 divisors, whose sum is σ = 99622799216640. Its totient is φ = 6371914678272.

The previous prime is 25744870884071. The next prime is 25744870884097. The reversal of 25744870884096 is 69048807844752.

25744870884096 is a `hidden beast` number, since 2 + 5 + 74 + 4 + 8 + 70 + 88 + 409 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (25744870884097) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 766724460 + ... + 766758036.

It is an arithmetic number, because the mean of its divisors is an integer number (86478124320).

Almost surely, 2^{25744870884096} is an apocalyptic number.

25744870884096 is a gapful number since it is divisible by the number (26) 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 25744870884096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49811399608320).

25744870884096 is an abundant number, since it is smaller than the sum of its proper divisors (73877928332544).

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

25744870884096 is a wasteful number, since it uses less digits than its factorization.

25744870884096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33698 (or 33678 counting only the distinct ones).

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

The spelling of 25744870884096 in words is "twenty-five trillion, seven hundred forty-four billion, eight hundred seventy million, eight hundred eighty-four thousand, ninety-six".