25535633653552 has 80 divisors (see below), whose sum is σ = 56830519756800. Its totient is φ = 10992956325120.

The previous prime is 25535633653501. The next prime is 25535633653561.

25535633653552 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10206193 + ... + 12459439.

It is an arithmetic number, because the mean of its divisors is an integer number (710381496960).

Almost surely, 2^{25535633653552} is an apocalyptic number.

25535633653552 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 25535633653552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28415259878400).

25535633653552 is an abundant number, since it is smaller than the sum of its proper divisors (31294886103248).

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

25535633653552 is a wasteful number, since it uses less digits than its factorization.

25535633653552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256674 (or 2256668 counting only the distinct ones).

The product of its digits is 182250000, while the sum is 58.

The spelling of 25535633653552 in words is "twenty-five trillion, five hundred thirty-five billion, six hundred thirty-three million, six hundred fifty-three thousand, five hundred fifty-two".