26601223600 has 180 divisors, whose sum is σ = 77088790704. Its totient is φ = 8640069120.

The previous prime is 26601223511. The next prime is 26601223651. The reversal of 26601223600 is 632210662.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 997642 + ... + 1023958.

Almost surely, 2^26601223600 is an apocalyptic number.

26601223600 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 26601223600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38544395352).

26601223600 is an abundant number, since it is smaller than the sum of its proper divisors (50487567104).

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

26601223600 is a wasteful number, since it uses less digits than its factorization.

26601223600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26380 (or 26350 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 26601223600 in words is "twenty-six billion, six hundred one million, two hundred twenty-three thousand, six hundred".