26872368600 has 768 divisors, whose sum is σ = 111078604800. Its totient is φ = 5209344000.

The previous prime is 26872368559. The next prime is 26872368637. The reversal of 26872368600 is 686327862.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 26872368600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41533477 + ... + 41534123.

It is an arithmetic number, because the mean of its divisors is an integer number (144633600).

Almost surely, 2^26872368600 is an apocalyptic number.

26872368600 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 26872368600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55539302400).

26872368600 is an abundant number, since it is smaller than the sum of its proper divisors (84206236200).

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

26872368600 is a wasteful number, since it uses less digits than its factorization.

26872368600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 26872368600 in words is "twenty-six billion, eight hundred seventy-two million, three hundred sixty-eight thousand, six hundred".