26266705920 has 1344 divisors, whose sum is σ = 120222385920. Its totient is φ = 5350883328.

The previous prime is 26266705919. The next prime is 26266705999. The reversal of 26266705920 is 2950766262.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 905748466 + ... + 905748494.

It is an arithmetic number, because the mean of its divisors is an integer number (89451180).

Almost surely, 2^26266705920 is an apocalyptic number.

26266705920 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 26266705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60111192960).

26266705920 is an abundant number, since it is smaller than the sum of its proper divisors (93955680000).

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

26266705920 is an equidigital number, since it uses as much as digits as its factorization.

26266705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 26266705920 in words is "twenty-six billion, two hundred sixty-six million, seven hundred five thousand, nine hundred twenty".