25835741568 has 1152 divisors, whose sum is σ = 104756652000. Its totient is φ = 6019743744.

The previous prime is 25835741501. The next prime is 25835741593. The reversal of 25835741568 is 86514753852.

25835741568 is a `hidden beast` number, since 2 + 5 + 8 + 3 + 5 + 74 + 1 + 568 = 666.

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

Its product of digits (8064000) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 237025098 + ... + 237025206.

Almost surely, 2^25835741568 is an apocalyptic number.

25835741568 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 25835741568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52378326000).

25835741568 is an abundant number, since it is smaller than the sum of its proper divisors (78920910432).

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

25835741568 is a wasteful number, since it uses less digits than its factorization.

25835741568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 170 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

It can be divided in two parts, 258357 and 41568, that added together give a triangular number (299925 = T₇₇₄).

The spelling of 25835741568 in words is "twenty-five billion, eight hundred thirty-five million, seven hundred forty-one thousand, five hundred sixty-eight".