26875740690080 has 48 divisors (see below), whose sum is σ = 63495685693440. Its totient is φ = 10750000265472.

The previous prime is 26875740690067. The next prime is 26875740690151. The reversal of 26875740690080 is 8009604757862.

It is a super-2 number, since 2×26875740690080² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26875740689995 and 26875740690022.

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 7 ways as a sum of consecutive naturals, for example, 3562841 + ... + 8151399.

It is an arithmetic number, because the mean of its divisors is an integer number (1322826785280).

Almost surely, 2^{26875740690080} is an apocalyptic number.

26875740690080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26875740690080 is an abundant number, since it is smaller than the sum of its proper divisors (36619945003360).

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

26875740690080 is a wasteful number, since it uses less digits than its factorization.

26875740690080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4625181 (or 4625173 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 62.

The spelling of 26875740690080 in words is "twenty-six trillion, eight hundred seventy-five billion, seven hundred forty million, six hundred ninety thousand, eighty".