26883759393216 has 672 divisors, whose sum is σ = 86309836194816. Its totient is φ = 7998368716800.

The previous prime is 26883759393181. The next prime is 26883759393269. The reversal of 26883759393216 is 61239395738862.

26883759393216 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 3 + 7 + 593 + 9 + 3 + 21 + 6 = 666.

It is a super-2 number, since 2×26883759393216² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15077822661 + ... + 15077824443.

Almost surely, 2^{26883759393216} 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 26883759393216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43154918097408).

26883759393216 is an abundant number, since it is smaller than the sum of its proper divisors (59426076801600).

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

26883759393216 is a wasteful number, since it uses less digits than its factorization.

26883759393216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2147 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 26883759393216 in words is "twenty-six trillion, eight hundred eighty-three billion, seven hundred fifty-nine million, three hundred ninety-three thousand, two hundred sixteen".