26830968861600 has 216 divisors, whose sum is σ = 94679042028480. Its totient is φ = 7149908328960.

The previous prime is 26830968861547. The next prime is 26830968861601. The reversal of 26830968861600 is 616886903862.

26830968861600 is a `hidden beast` number, since 2 + 6 + 8 + 3 + 0 + 9 + 6 + 8 + 8 + 616 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (26830968861601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8968681 + ... + 11580119.

It is an arithmetic number, because the mean of its divisors is an integer number (438328898280).

Almost surely, 2^{26830968861600} is an apocalyptic number.

26830968861600 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 26830968861600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47339521014240).

26830968861600 is an abundant number, since it is smaller than the sum of its proper divisors (67848073166880).

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

26830968861600 is a wasteful number, since it uses less digits than its factorization.

26830968861600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612892 (or 2612876 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 26830968861600 in words is "twenty-six trillion, eight hundred thirty billion, nine hundred sixty-eight million, eight hundred sixty-one thousand, six hundred".