26212386816 has 864 divisors, whose sum is σ = 100596263040. Its totient is φ = 6423183360.

The previous prime is 26212386769. The next prime is 26212386841. The reversal of 26212386816 is 61868321262.

26212386816 is a `hidden beast` number, since 2 + 621 + 2 + 3 + 8 + 6 + 8 + 16 = 666.

It is a super-2 number, since 2×26212386816² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 359073756 + ... + 359073828.

It is an arithmetic number, because the mean of its divisors is an integer number (116430860).

Almost surely, 2^26212386816 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 26212386816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50298131520).

26212386816 is an abundant number, since it is smaller than the sum of its proper divisors (74383876224).

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

26212386816 is a wasteful number, since it uses less digits than its factorization.

26212386816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 119 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 26212386816 in words is "twenty-six billion, two hundred twelve million, three hundred eighty-six thousand, eight hundred sixteen".