26672086080 has 448 divisors, whose sum is σ = 100572295680. Its totient is φ = 6630801408.

The previous prime is 26672086043. The next prime is 26672086087. The reversal of 26672086080 is 8068027662.

It is a happy number.

It is a super-2 number, since 2×26672086080² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (26672086087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16596637 + ... + 16598243.

Almost surely, 2^26672086080 is an apocalyptic number.

26672086080 is a gapful number since it is divisible by the number (20) 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 26672086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50286147840).

26672086080 is an abundant number, since it is smaller than the sum of its proper divisors (73900209600).

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

26672086080 is a wasteful number, since it uses less digits than its factorization.

26672086080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 26672086080 in words is "twenty-six billion, six hundred seventy-two million, eighty-six thousand, eighty".