26588872200 has 192 divisors, whose sum is σ = 90027184320. Its totient is φ = 6438016000.

The previous prime is 26588872127. The next prime is 26588872241. The reversal of 26588872200 is 227888562.

It is a self number, because there is not a number n which added to its sum of digits gives 26588872200.

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, 7000702 + ... + 7004498.

It is an arithmetic number, because the mean of its divisors is an integer number (468891585).

Almost surely, 2^26588872200 is an apocalyptic number.

26588872200 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 26588872200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45013592160).

26588872200 is an abundant number, since it is smaller than the sum of its proper divisors (63438312120).

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

26588872200 is a wasteful number, since it uses less digits than its factorization.

26588872200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4888 (or 4879 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 26588872200 in words is "twenty-six billion, five hundred eighty-eight million, eight hundred seventy-two thousand, two hundred".