26817816960 has 640 divisors, whose sum is σ = 105568531200. Its totient is φ = 6433689600.

The previous prime is 26817816913. The next prime is 26817816967. The reversal of 26817816960 is 6961871862.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 26817816897 and 26817816906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26817816967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 74701261 + ... + 74701619.

It is an arithmetic number, because the mean of its divisors is an integer number (164950830).

Almost surely, 2^26817816960 is an apocalyptic number.

26817816960 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 26817816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52784265600).

26817816960 is an abundant number, since it is smaller than the sum of its proper divisors (78750714240).

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

26817816960 is a wasteful number, since it uses less digits than its factorization.

26817816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 26817816960 in words is "twenty-six billion, eight hundred seventeen million, eight hundred sixteen thousand, nine hundred sixty".