26133329664 has 216 divisors, whose sum is σ = 81355917552. Its totient is φ = 8020131840.

The previous prime is 26133329633. The next prime is 26133329723. The reversal of 26133329664 is 46692333162.

26133329664 is a `hidden beast` number, since 2 + 613 + 3 + 3 + 29 + 6 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14705544 + ... + 14707320.

Almost surely, 2^26133329664 is an apocalyptic number.

26133329664 is a gapful number since it is divisible by the number (24) 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 26133329664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40677958776).

26133329664 is an abundant number, since it is smaller than the sum of its proper divisors (55222587888).

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

26133329664 is a wasteful number, since it uses less digits than its factorization.

26133329664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2286 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The spelling of 26133329664 in words is "twenty-six billion, one hundred thirty-three million, three hundred twenty-nine thousand, six hundred sixty-four".