26445056000 has 192 divisors, whose sum is σ = 71997569280. Its totient is φ = 9615360000.

The previous prime is 26445055921. The next prime is 26445056003. The reversal of 26445056000 is 65054462.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (26445056003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2811305 + ... + 2820695.

It is an arithmetic number, because the mean of its divisors is an integer number (374987340).

Almost surely, 2^26445056000 is an apocalyptic number.

26445056000 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 26445056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35998784640).

26445056000 is an abundant number, since it is smaller than the sum of its proper divisors (45552513280).

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

26445056000 is an equidigital number, since it uses as much as digits as its factorization.

26445056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9439 (or 9409 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 26445056000 in words is "twenty-six billion, four hundred forty-five million, fifty-six thousand".