26849567803968 has 2016 divisors, whose sum is σ = 104199977097216. Its totient is φ = 6698708729856.

The previous prime is 26849567803951. The next prime is 26849567804029. The reversal of 26849567803968 is 86930876594862.

It is a happy number.

26849567803968 is a `hidden beast` number, since 2 + 6 + 8 + 4 + 95 + 67 + 80 + 396 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 45277517080 + ... + 45277517672.

It is an arithmetic number, because the mean of its divisors is an integer number (51686496576).

Almost surely, 2^{26849567803968} is an apocalyptic number.

26849567803968 is a gapful number since it is divisible by the number (28) 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 26849567803968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52099988548608).

26849567803968 is an abundant number, since it is smaller than the sum of its proper divisors (77350409293248).

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

26849567803968 is a wasteful number, since it uses less digits than its factorization.

26849567803968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 7524679680, while the sum is 81.

The spelling of 26849567803968 in words is "twenty-six trillion, eight hundred forty-nine billion, five hundred sixty-seven million, eight hundred three thousand, nine hundred sixty-eight".