26726224800 has 288 divisors, whose sum is σ = 97470886464. Its totient is φ = 6303744000.

The previous prime is 26726224783. The next prime is 26726224817. The reversal of 26726224800 is 842262762.

It is an interprime number because it is at equal distance from previous prime (26726224783) and next prime (26726224817).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 963120 + ... + 990480.

It is an arithmetic number, because the mean of its divisors is an integer number (338440578).

Almost surely, 2^26726224800 is an apocalyptic number.

26726224800 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 26726224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48735443232).

26726224800 is an abundant number, since it is smaller than the sum of its proper divisors (70744661664).

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

26726224800 is a wasteful number, since it uses less digits than its factorization.

26726224800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27432 (or 27419 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 26726224800 in words is "twenty-six billion, seven hundred twenty-six million, two hundred twenty-four thousand, eight hundred".