26790604800 has 312 divisors, whose sum is σ = 91009349136. Its totient is φ = 6948126720.

The previous prime is 26790604783. The next prime is 26790604807. The reversal of 26790604800 is 840609762.

It is not an unprimeable number, because it can be changed into a prime (26790604807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11365222 + ... + 11367578.

Almost surely, 2^26790604800 is an apocalyptic number.

26790604800 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 26790604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45504674568).

26790604800 is an abundant number, since it is smaller than the sum of its proper divisors (64218744336).

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

26790604800 is a wasteful number, since it uses less digits than its factorization.

26790604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 26790604800 in words is "twenty-six billion, seven hundred ninety million, six hundred four thousand, eight hundred".