26800488400 has 120 divisors (see below), whose sum is σ = 73636340544. Its totient is φ = 9182515200.

The previous prime is 26800488383. The next prime is 26800488419. The reversal of 26800488400 is 488400862.

It is a Harshad number since it is a multiple of its sum of digits (40).

26800488400 is a modest number, since divided by 488400 gives 26800 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6362295 + ... + 6366505.

Almost surely, 2^26800488400 is an apocalyptic number.

26800488400 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 26800488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36818170272).

26800488400 is an abundant number, since it is smaller than the sum of its proper divisors (46835852144).

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

26800488400 is a wasteful number, since it uses less digits than its factorization.

26800488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6509 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The spelling of 26800488400 in words is "twenty-six billion, eight hundred million, four hundred eighty-eight thousand, four hundred".