26982246816 has 288 divisors, whose sum is σ = 92834501760. Its totient is φ = 7269599232.

The previous prime is 26982246799. The next prime is 26982246869. The reversal of 26982246816 is 61864228962.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2508586 + ... + 2519318.

It is an arithmetic number, because the mean of its divisors is an integer number (322342020).

Almost surely, 2^26982246816 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 26982246816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46417250880).

26982246816 is an abundant number, since it is smaller than the sum of its proper divisors (65852254944).

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

26982246816 is a wasteful number, since it uses less digits than its factorization.

26982246816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10828 (or 10817 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 26982246816 in words is "twenty-six billion, nine hundred eighty-two million, two hundred forty-six thousand, eight hundred sixteen".