26924794968960 has 1280 divisors, whose sum is σ = 115218276940800. Its totient is φ = 5858381168640.

The previous prime is 26924794968943. The next prime is 26924794969019. The reversal of 26924794968960 is 6986949742962.

26924794968960 is a `hidden beast` number, since 2 + 6 + 9 + 2 + 47 + 9 + 496 + 89 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 26924794968960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1761048996 + ... + 1761064284.

It is an arithmetic number, because the mean of its divisors is an integer number (90014278860).

Almost surely, 2^{26924794968960} is an apocalyptic number.

26924794968960 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 26924794968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57609138470400).

26924794968960 is an abundant number, since it is smaller than the sum of its proper divisors (88293481971840).

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

26924794968960 is a wasteful number, since it uses less digits than its factorization.

26924794968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15561 (or 15540 counting only the distinct ones).

The product of its (nonzero) digits is 5079158784, while the sum is 81.

The spelling of 26924794968960 in words is "twenty-six trillion, nine hundred twenty-four billion, seven hundred ninety-four million, nine hundred sixty-eight thousand, nine hundred sixty".