26820668160 has 1152 divisors, whose sum is σ = 114885227520. Its totient is φ = 5912248320.

The previous prime is 26820668153. The next prime is 26820668197. The reversal of 26820668160 is 6186602862.

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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 400308447 + ... + 400308513.

It is an arithmetic number, because the mean of its divisors is an integer number (99726760).

Almost surely, 2^26820668160 is an apocalyptic number.

26820668160 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 26820668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57442613760).

26820668160 is an abundant number, since it is smaller than the sum of its proper divisors (88064559360).

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

26820668160 is an equidigital number, since it uses as much as digits as its factorization.

26820668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 26820668160 in words is "twenty-six billion, eight hundred twenty million, six hundred sixty-eight thousand, one hundred sixty".