26484544800 has 432 divisors, whose sum is σ = 113014766592. Its totient is φ = 5697331200.

The previous prime is 26484544789. The next prime is 26484544813. The reversal of 26484544800 is 844548462.

26484544800 is a `hidden beast` number, since 26 + 4 + 8 + 4 + 544 + 80 + 0 = 666.

It is a super-2 number, since 2×26484544800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 841345 + ... + 872255.

It is an arithmetic number, because the mean of its divisors is an integer number (261608256).

Almost surely, 2^26484544800 is an apocalyptic number.

26484544800 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 26484544800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56507383296).

26484544800 is an abundant number, since it is smaller than the sum of its proper divisors (86530221792).

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

26484544800 is a wasteful number, since it uses less digits than its factorization.

26484544800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30961 (or 30945 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 26484544800 in words is "twenty-six billion, four hundred eighty-four million, five hundred forty-four thousand, eight hundred".