25746168018816 has 576 divisors, whose sum is σ = 87871349011680. Its totient is φ = 7212153102336.

The previous prime is 25746168018811. The next prime is 25746168018839. The reversal of 25746168018816 is 61881086164752.

It is a happy number.

25746168018816 is a `hidden beast` number, since 2 + 5 + 7 + 4 + 616 + 8 + 0 + 1 + 8 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (25746168018811) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6692529405 + ... + 6692533251.

Almost surely, 2^{25746168018816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25746168018816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43935674505840).

25746168018816 is an abundant number, since it is smaller than the sum of its proper divisors (62125180992864).

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

25746168018816 is a wasteful number, since it uses less digits than its factorization.

25746168018816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6171 (or 6149 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 25746168018816 in words is "twenty-five trillion, seven hundred forty-six billion, one hundred sixty-eight million, eighteen thousand, eight hundred sixteen".