26481382800 has 240 divisors, whose sum is σ = 90185959872. Its totient is φ = 6619136000.

The previous prime is 26481382771. The next prime is 26481382861. The reversal of 26481382800 is 828318462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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, 5240275 + ... + 5245325.

Almost surely, 2^26481382800 is an apocalyptic number.

26481382800 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 26481382800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45092979936).

26481382800 is an abundant number, since it is smaller than the sum of its proper divisors (63704577072).

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

26481382800 is a wasteful number, since it uses less digits than its factorization.

26481382800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5346 (or 5335 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 26481382800 in words is "twenty-six billion, four hundred eighty-one million, three hundred eighty-two thousand, eight hundred".