26790499810116 has 189 divisors, whose sum is σ = 81775270925901. Its totient is φ = 7653869514144.

The previous prime is 26790499810099. The next prime is 26790499810159. The reversal of 26790499810116 is 61101899409762.

The square root of 26790499810116 is 5175954.

It is a perfect power (a square), and thus also a powerful number.

26790499810116 is a `hidden beast` number, since 2 + 67 + 9 + 0 + 499 + 81 + 0 + 1 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26759204784900 + 31295025216 = 5172930^2 + 176904^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1956503766 + ... + 1956517458.

Almost surely, 2^{26790499810116} is an apocalyptic number.

26790499810116 is the 5175954-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26790499810116

26790499810116 is an abundant number, since it is smaller than the sum of its proper divisors (54984771115785).

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

26790499810116 is an frugal number, since it uses more digits than its factorization.

26790499810116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27422 (or 13705 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 26790499810116 in words is "twenty-six trillion, seven hundred ninety billion, four hundred ninety-nine million, eight hundred ten thousand, one hundred sixteen".