26673149056 has 128 divisors (see below), whose sum is σ = 58237185600. Its totient is φ = 12118622208.

The previous prime is 26673148951. The next prime is 26673149161. The reversal of 26673149056 is 65094137662.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26673148951) and next prime (26673149161).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×26673149056² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8325951 + ... + 8329153.

Almost surely, 2^26673149056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26673149056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29118592800).

26673149056 is an abundant number, since it is smaller than the sum of its proper divisors (31564036544).

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

26673149056 is a wasteful number, since it uses less digits than its factorization.

26673149056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

The spelling of 26673149056 in words is "twenty-six billion, six hundred seventy-three million, one hundred forty-nine thousand, fifty-six".