26683420468800 has 672 divisors, whose sum is σ = 93605708851200. Its totient is φ = 6642891530240.

The previous prime is 26683420468763. The next prime is 26683420468811. The reversal of 26683420468800 is 886402438662.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 542994631 + ... + 543043769.

It is an arithmetic number, because the mean of its divisors is an integer number (139294209600).

Almost surely, 2^{26683420468800} is an apocalyptic number.

26683420468800 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 26683420468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46802854425600).

26683420468800 is an abundant number, since it is smaller than the sum of its proper divisors (66922288382400).

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

26683420468800 is a wasteful number, since it uses less digits than its factorization.

26683420468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49323 (or 49308 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 57.

The spelling of 26683420468800 in words is "twenty-six trillion, six hundred eighty-three billion, four hundred twenty million, four hundred sixty-eight thousand, eight hundred".