26827032960 has 1152 divisors, whose sum is σ = 119271260160. Its totient is φ = 5434490880.

The previous prime is 26827032913. The next prime is 26827032961. The reversal of 26827032960 is 6923072862.

26827032960 is a `hidden beast` number, since 268 + 2 + 7 + 0 + 329 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26827032961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 211236417 + ... + 211236543.

It is an arithmetic number, because the mean of its divisors is an integer number (103534080).

Almost surely, 2^26827032960 is an apocalyptic number.

26827032960 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 26827032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59635630080).

26827032960 is an abundant number, since it is smaller than the sum of its proper divisors (92444227200).

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

26827032960 is a wasteful number, since it uses less digits than its factorization.

26827032960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 26827032960 in words is "twenty-six billion, eight hundred twenty-seven million, thirty-two thousand, nine hundred sixty".