25535868285312 has 5120 divisors, whose sum is σ = 112606433280000. Its totient is φ = 5653542666240.

The previous prime is 25535868285287. The next prime is 25535868285353. The reversal of 25535868285312 is 21358286853552.

25535868285312 is a `hidden beast` number, since 2 + 5 + 5 + 35 + 8 + 6 + 8 + 285 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 25535868285312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 543316346473 + ... + 543316346519.

It is an arithmetic number, because the mean of its divisors is an integer number (21993444000).

Almost surely, 2^{25535868285312} is an apocalyptic number.

25535868285312 is a gapful number since it is divisible by the number (22) 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 25535868285312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56303216640000).

25535868285312 is an abundant number, since it is smaller than the sum of its proper divisors (87070564994688).

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

25535868285312 is a wasteful number, since it uses less digits than its factorization.

25535868285312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 149 counting only the distinct ones).

The product of its digits is 138240000, while the sum is 63.

The spelling of 25535868285312 in words is "twenty-five trillion, five hundred thirty-five billion, eight hundred sixty-eight million, two hundred eighty-five thousand, three hundred twelve".