26959968000 has 864 divisors, whose sum is σ = 113811489792. Its totient is φ = 5999616000.

The previous prime is 26959967941. The next prime is 26959968017. The reversal of 26959968000 is 86995962.

It is a super-2 number, since 2×26959968000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 86687845 + ... + 86688155.

Almost surely, 2^26959968000 is an apocalyptic number.

26959968000 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 26959968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56905744896).

26959968000 is an abundant number, since it is smaller than the sum of its proper divisors (86851521792).

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

26959968000 is a wasteful number, since it uses less digits than its factorization.

26959968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 26959968000 in words is "twenty-six billion, nine hundred fifty-nine million, nine hundred sixty-eight thousand".