26897832000 has 1120 divisors, whose sum is σ = 111692765184. Its totient is φ = 6345216000.

The previous prime is 26897831977. The next prime is 26897832041. The reversal of 26897832000 is 23879862.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 261143949 + ... + 261144051.

Almost surely, 2^26897832000 is an apocalyptic number.

26897832000 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 26897832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55846382592).

26897832000 is an abundant number, since it is smaller than the sum of its proper divisors (84794933184).

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

26897832000 is a wasteful number, since it uses less digits than its factorization.

26897832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 26897832000 in words is "twenty-six billion, eight hundred ninety-seven million, eight hundred thirty-two thousand".