26989200000 has 1440 divisors, whose sum is σ = 123653140380. Its totient is φ = 5806080000.

The previous prime is 26989199989. The next prime is 26989200013. The reversal of 26989200000 is 298962.

It can be written as a sum of positive squares in 6 ways, for example, as 1140277824 + 25848922176 = 33768^2 + 160776^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1587599992 + ... + 1587600008.

Almost surely, 2^26989200000 is an apocalyptic number.

26989200000 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 26989200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61826570190).

26989200000 is an abundant number, since it is smaller than the sum of its proper divisors (96663940380).

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

26989200000 is an frugal number, since it uses more digits than its factorization.

26989200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Adding to 26989200000 its reverse (298962), we get a palindrome (26989498962).

The spelling of 26989200000 in words is "twenty-six billion, nine hundred eighty-nine million, two hundred thousand".