26249120064 has 112 divisors (see below), whose sum is σ = 77214984000. Its totient is φ = 8744329728.

The previous prime is 26249120063. The next prime is 26249120071. The reversal of 26249120064 is 46002194262.

26249120064 is a `hidden beast` number, since 2 + 624 + 9 + 1 + 20 + 0 + 6 + 4 = 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 (26249120063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3623454 + ... + 3630690.

It is an arithmetic number, because the mean of its divisors is an integer number (689419500).

Almost surely, 2^26249120064 is an apocalyptic number.

26249120064 is a gapful number since it is divisible by the number (24) 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 26249120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38607492000).

26249120064 is an abundant number, since it is smaller than the sum of its proper divisors (50965863936).

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

26249120064 is a wasteful number, since it uses less digits than its factorization.

26249120064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9357 (or 9341 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 26249120064 in words is "twenty-six billion, two hundred forty-nine million, one hundred twenty thousand, sixty-four".