26891216352 has 1536 divisors, whose sum is σ = 117050572800. Its totient is φ = 5772902400.

The previous prime is 26891216327. The next prime is 26891216377. The reversal of 26891216352 is 25361219862.

26891216352 is a `hidden beast` number, since 2 + 6 + 8 + 9 + 1 + 2 + 1 + 635 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (26891216327) and next prime (26891216377).

It is a junction number, because it is equal to n+sod(n) for n = 26891216298 and 26891216307.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 455783299 + ... + 455783357.

It is an arithmetic number, because the mean of its divisors is an integer number (76204800).

Almost surely, 2^26891216352 is an apocalyptic number.

26891216352 is a gapful number since it is divisible by the number (22) 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 26891216352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58525286400).

26891216352 is an abundant number, since it is smaller than the sum of its proper divisors (90159356448).

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

26891216352 is a wasteful number, since it uses less digits than its factorization.

26891216352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 26891216352 in words is "twenty-six billion, eight hundred ninety-one million, two hundred sixteen thousand, three hundred fifty-two".