26122936320 has 896 divisors, whose sum is σ = 105690009600. Its totient is φ = 6072827904.

The previous prime is 26122936309. The next prime is 26122936327. The reversal of 26122936320 is 2363922162.

It is a happy number.

26122936320 is a `hidden beast` number, since 2 + 6 + 12 + 2 + 9 + 3 + 632 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26122936327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 330670041 + ... + 330670119.

It is an arithmetic number, because the mean of its divisors is an integer number (117957600).

Almost surely, 2^26122936320 is an apocalyptic number.

26122936320 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 26122936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52845004800).

26122936320 is an abundant number, since it is smaller than the sum of its proper divisors (79567073280).

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

26122936320 is a wasteful number, since it uses less digits than its factorization.

26122936320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 26122936320 in words is "twenty-six billion, one hundred twenty-two million, nine hundred thirty-six thousand, three hundred twenty".