26936982144 has 96 divisors (see below), whose sum is σ = 77546057940. Its totient is φ = 8975278080.

The previous prime is 26936982143. The next prime is 26936982187. The reversal of 26936982144 is 44128963962.

26936982144 is a `hidden beast` number, since 2 + 69 + 369 + 8 + 214 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26924871744 + 12110400 = 164088^2 + 3480^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×26936982144³ (a number of 32 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (26936982143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5362354 + ... + 5367374.

Almost surely, 2^26936982144 is an apocalyptic number.

26936982144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

26936982144 is an abundant number, since it is smaller than the sum of its proper divisors (50609075796).

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

26936982144 is a wasteful number, since it uses less digits than its factorization.

26936982144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9698 (or 9683 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 26936982144 in words is "twenty-six billion, nine hundred thirty-six million, nine hundred eighty-two thousand, one hundred forty-four".