26552632202880 has 1536 divisors, whose sum is σ = 102832997541120. Its totient is φ = 5806286438400.

The previous prime is 26552632202807. The next prime is 26552632202897. The reversal of 26552632202880 is 8820223625562.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63070385070 + ... + 63070385490.

Almost surely, 2^{26552632202880} is an apocalyptic number.

26552632202880 is a gapful number since it is divisible by the number (20) 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 26552632202880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51416498770560).

26552632202880 is an abundant number, since it is smaller than the sum of its proper divisors (76280365338240).

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

26552632202880 is a wasteful number, since it uses less digits than its factorization.

26552632202880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 26552632202880 in words is "twenty-six trillion, five hundred fifty-two billion, six hundred thirty-two million, two hundred two thousand, eight hundred eighty".