26231985331200 has 2376 divisors, whose sum is σ = 107856350085120. Its totient is φ = 6080126976000.

The previous prime is 26231985331127. The next prime is 26231985331213. The reversal of 26231985331200 is 213358913262.

26231985331200 is a `hidden beast` number, since 2 + 6 + 2 + 3 + 1 + 98 + 533 + 1 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 109757260681 + ... + 109757260919.

Almost surely, 2^{26231985331200} is an apocalyptic number.

26231985331200 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 26231985331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53928175042560).

26231985331200 is an abundant number, since it is smaller than the sum of its proper divisors (81624364753920).

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

26231985331200 is a wasteful number, since it uses less digits than its factorization.

26231985331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 26231985331200 in words is "twenty-six trillion, two hundred thirty-one billion, nine hundred eighty-five million, three hundred thirty-one thousand, two hundred".