26990980800 has 336 divisors, whose sum is σ = 104471980032. Its totient is φ = 5970124800.

The previous prime is 26990980763. The next prime is 26990980823. The reversal of 26990980800 is 808909962.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1028644 + ... + 1054556.

It is an arithmetic number, because the mean of its divisors is an integer number (310928512).

Almost surely, 2^26990980800 is an apocalyptic number.

26990980800 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 26990980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52235990016).

26990980800 is an abundant number, since it is smaller than the sum of its proper divisors (77480999232).

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

26990980800 is a wasteful number, since it uses less digits than its factorization.

26990980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25976 (or 25961 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The spelling of 26990980800 in words is "twenty-six billion, nine hundred ninety million, nine hundred eighty thousand, eight hundred".