26801532000 has 288 divisors, whose sum is σ = 99257296320. Its totient is φ = 6836121600.

The previous prime is 26801531971. The next prime is 26801532013. The reversal of 26801532000 is 23510862.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 811816 + ... + 844184.

It is an arithmetic number, because the mean of its divisors is an integer number (344643390).

Almost surely, 2^26801532000 is an apocalyptic number.

26801532000 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 26801532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49628648160).

26801532000 is an abundant number, since it is smaller than the sum of its proper divisors (72455764320).

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

26801532000 is a wasteful number, since it uses less digits than its factorization.

26801532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32423 (or 32402 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 26801532000 in words is "twenty-six billion, eight hundred one million, five hundred thirty-two thousand".