26616432730800 has 480 divisors, whose sum is σ = 97797113084160. Its totient is φ = 6127833600000.

The previous prime is 26616432730751. The next prime is 26616432730807. The reversal of 26616432730800 is 803723461662.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 26616432730800.

It is not an unprimeable number, because it can be changed into a prime (26616432730807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22780875 + ... + 23920725.

It is an arithmetic number, because the mean of its divisors is an integer number (203743985592).

Almost surely, 2^{26616432730800} is an apocalyptic number.

26616432730800 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 26616432730800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48898556542080).

26616432730800 is an abundant number, since it is smaller than the sum of its proper divisors (71180680353360).

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

26616432730800 is a wasteful number, since it uses less digits than its factorization.

26616432730800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139973 (or 1139962 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 26616432730800 in words is "twenty-six trillion, six hundred sixteen billion, four hundred thirty-two million, seven hundred thirty thousand, eight hundred".