26966380224 has 112 divisors (see below), whose sum is σ = 81703468800. Its totient is φ = 7689348096.

The previous prime is 26966380183. The next prime is 26966380303. The reversal of 26966380224 is 42208366962.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 664387 + ... + 703805.

Almost surely, 2^26966380224 is an apocalyptic number.

26966380224 is a gapful number since it is divisible by the number (24) 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 26966380224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40851734400).

26966380224 is an abundant number, since it is smaller than the sum of its proper divisors (54737088576).

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

26966380224 is a wasteful number, since it uses less digits than its factorization.

26966380224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39950 (or 39940 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 26966380224 in words is "twenty-six billion, nine hundred sixty-six million, three hundred eighty thousand, two hundred twenty-four".