26233645000 has 160 divisors (see below), whose sum is σ = 63863525880. Its totient is φ = 10091520000.

The previous prime is 26233644991. The next prime is 26233645019. The reversal of 26233645000 is 54633262.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 23348451204 + 2885193796 = 152802^2 + 53714^2 .

It is a super-3 number, since 3×26233645000³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14964124 + ... + 14965876.

Almost surely, 2^26233645000 is an apocalyptic number.

26233645000 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 26233645000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31931762940).

26233645000 is an abundant number, since it is smaller than the sum of its proper divisors (37629880880).

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

26233645000 is a wasteful number, since it uses less digits than its factorization.

26233645000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The spelling of 26233645000 in words is "twenty-six billion, two hundred thirty-three million, six hundred forty-five thousand".