26672053248 has 264 divisors, whose sum is σ = 82054273392. Its totient is φ = 8647409664.

The previous prime is 26672053229. The next prime is 26672053297. The reversal of 26672053248 is 84235027662.

26672053248 is a `hidden beast` number, since 2 + 6 + 6 + 72 + 0 + 532 + 48 = 666.

It is a super-2 number, since 2×26672053248² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9205336 + ... + 9208232.

Almost surely, 2^26672053248 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 26672053248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41027136696).

26672053248 is an abundant number, since it is smaller than the sum of its proper divisors (55382220144).

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

26672053248 is an equidigital number, since it uses as much as digits as its factorization.

26672053248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 26672053248 in words is "twenty-six billion, six hundred seventy-two million, fifty-three thousand, two hundred forty-eight".