26946751104 has 288 divisors, whose sum is σ = 97143277140. Its totient is φ = 7106641920.

The previous prime is 26946751103. The next prime is 26946751109. The reversal of 26946751104 is 40115764962.

It can be written as a sum of positive squares in 2 ways, for example, as 18747086400 + 8199664704 = 136920^2 + 90552^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×26946751104² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26946751104.

It is not an unprimeable number, because it can be changed into a prime (26946751103) 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 35 ways as a sum of consecutive naturals, for example, 715464 + ... + 752184.

Almost surely, 2^26946751104 is an apocalyptic number.

26946751104 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 26946751104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48571638570).

26946751104 is an abundant number, since it is smaller than the sum of its proper divisors (70196526036).

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

26946751104 is a wasteful number, since it uses less digits than its factorization.

26946751104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36768 (or 36746 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 26946751104 in words is "twenty-six billion, nine hundred forty-six million, seven hundred fifty-one thousand, one hundred four".