26905813200 has 480 divisors, whose sum is σ = 109821542400. Its totient is φ = 6128801280.

The previous prime is 26905813177. The next prime is 26905813213. The reversal of 26905813200 is 231850962.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36212029 + ... + 36212771.

It is an arithmetic number, because the mean of its divisors is an integer number (228794880).

Almost surely, 2^26905813200 is an apocalyptic number.

26905813200 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 26905813200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54910771200).

26905813200 is an abundant number, since it is smaller than the sum of its proper divisors (82915729200).

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

26905813200 is a wasteful number, since it uses less digits than its factorization.

26905813200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 26905813200 in words is "twenty-six billion, nine hundred five million, eight hundred thirteen thousand, two hundred".