26772124276801 has 16 divisors (see below), whose sum is σ = 27625728415824. Its totient is φ = 25933235421184.

The previous prime is 26772124276789. The next prime is 26772124276813. The reversal of 26772124276801 is 10867242127762.

It is an interprime number because it is at equal distance from previous prime (26772124276789) and next prime (26772124276813).

It can be written as a sum of positive squares in 8 ways, for example, as 1135927508401 + 25636196768400 = 1065799^2 + 5063220^2 .

It is a cyclic number.

It is not a de Polignac number, because 26772124276801 - 2⁷ = 26772124276673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26772124276831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7157746 + ... + 10236091.

It is an arithmetic number, because the mean of its divisors is an integer number (1726608025989).

Almost surely, 2^{26772124276801} is an apocalyptic number.

It is an amenable number.

26772124276801 is a deficient number, since it is larger than the sum of its proper divisors (853604139023).

26772124276801 is a wasteful number, since it uses less digits than its factorization.

26772124276801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17394260.

The product of its (nonzero) digits is 6322176, while the sum is 55.

The spelling of 26772124276801 in words is "twenty-six trillion, seven hundred seventy-two billion, one hundred twenty-four million, two hundred seventy-six thousand, eight hundred one".