26193846304 has 72 divisors (see below), whose sum is σ = 54728865324. Its totient is φ = 12331353600.

The previous prime is 26193846277. The next prime is 26193846359. The reversal of 26193846304 is 40364839162.

It can be written as a sum of positive squares in 2 ways, for example, as 26185712400 + 8133904 = 161820^2 + 2852^2 .

It is a super-2 number, since 2×26193846304² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1126314 + ... + 1149334.

Almost surely, 2^26193846304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26193846304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27364432662).

26193846304 is an abundant number, since it is smaller than the sum of its proper divisors (28535019020).

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

26193846304 is a wasteful number, since it uses less digits than its factorization.

26193846304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23130 (or 23091 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The spelling of 26193846304 in words is "twenty-six billion, one hundred ninety-three million, eight hundred forty-six thousand, three hundred four".