26989180400 has 360 divisors, whose sum is σ = 82399507344. Its totient is φ = 8418816000.

The previous prime is 26989180349. The next prime is 26989180403. The reversal of 26989180400 is 408198962.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26989180403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18599675 + ... + 18601125.

Almost surely, 2^26989180400 is an apocalyptic number.

26989180400 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 26989180400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41199753672).

26989180400 is an abundant number, since it is smaller than the sum of its proper divisors (55410326944).

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

26989180400 is a wasteful number, since it uses less digits than its factorization.

26989180400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 47.

The spelling of 26989180400 in words is "twenty-six billion, nine hundred eighty-nine million, one hundred eighty thousand, four hundred".