26815211680 has 96 divisors (see below), whose sum is σ = 64437254784. Its totient is φ = 10542867456.

The previous prime is 26815211669. The next prime is 26815211701. The reversal of 26815211680 is 8611251862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5389674 + ... + 5394646.

It is an arithmetic number, because the mean of its divisors is an integer number (671221404).

Almost surely, 2^26815211680 is an apocalyptic number.

26815211680 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 26815211680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32218627392).

26815211680 is an abundant number, since it is smaller than the sum of its proper divisors (37622043104).

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

26815211680 is a wasteful number, since it uses less digits than its factorization.

26815211680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5558 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The spelling of 26815211680 in words is "twenty-six billion, eight hundred fifteen million, two hundred eleven thousand, six hundred eighty".