26788233288762 has 192 divisors, whose sum is σ = 69481374842880. Its totient is φ = 7368634800000.

The previous prime is 26788233288721. The next prime is 26788233288779.

26788233288762 is a `hidden beast` number, since 2 + 6 + 78 + 82 + 332 + 88 + 76 + 2 = 666.

26788233288762 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10641687 + ... + 12915957.

It is an arithmetic number, because the mean of its divisors is an integer number (361882160640).

Almost surely, 2^{26788233288762} is an apocalyptic number.

26788233288762 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 26788233288762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34740687421440).

26788233288762 is an abundant number, since it is smaller than the sum of its proper divisors (42693141554118).

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

26788233288762 is a wasteful number, since it uses less digits than its factorization.

26788233288762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274441 (or 2274438 counting only the distinct ones).

The product of its digits is 1040449536, while the sum is 72.

The spelling of 26788233288762 in words is "twenty-six trillion, seven hundred eighty-eight billion, two hundred thirty-three million, two hundred eighty-eight thousand, seven hundred sixty-two".