26368312320 has 880 divisors, whose sum is σ = 111851486208. Its totient is φ = 5812715520.

The previous prime is 26368312279. The next prime is 26368312343. The reversal of 26368312320 is 2321386362.

It is a happy number.

26368312320 is a `hidden beast` number, since 2 + 636 + 8 + 3 + 12 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 89994094 + ... + 89994386.

Almost surely, 2^26368312320 is an apocalyptic number.

26368312320 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 26368312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55925743104).

26368312320 is an abundant number, since it is smaller than the sum of its proper divisors (85483173888).

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

26368312320 is a wasteful number, since it uses less digits than its factorization.

26368312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 26368312320 its reverse (2321386362), we get a palindrome (28689698682).

The spelling of 26368312320 in words is "twenty-six billion, three hundred sixty-eight million, three hundred twelve thousand, three hundred twenty".