26722204800 has 384 divisors, whose sum is σ = 94512432960. Its totient is φ = 6611927040.

The previous prime is 26722204771. The next prime is 26722204807. The reversal of 26722204800 is 840222762.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (26722204807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11912479 + ... + 11914721.

Almost surely, 2^26722204800 is an apocalyptic number.

26722204800 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 26722204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47256216480).

26722204800 is an abundant number, since it is smaller than the sum of its proper divisors (67790228160).

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

26722204800 is a wasteful number, since it uses less digits than its factorization.

26722204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 26722204800 in words is "twenty-six billion, seven hundred twenty-two million, two hundred four thousand, eight hundred".