26447379782800 has 240 divisors, whose sum is σ = 66691760918400. Its totient is φ = 10064994508800.

The previous prime is 26447379782773. The next prime is 26447379782819. The reversal of 26447379782800 is 828797374462.

It is a hoax number, since the sum of its digits (67) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 1794617032 + ... + 1794631768.

It is an arithmetic number, because the mean of its divisors is an integer number (277882337160).

Almost surely, 2^{26447379782800} is an apocalyptic number.

26447379782800 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 26447379782800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33345880459200).

26447379782800 is an abundant number, since it is smaller than the sum of its proper divisors (40244381135600).

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

26447379782800 is a wasteful number, since it uses less digits than its factorization.

26447379782800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17034 (or 17023 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 67.

The spelling of 26447379782800 in words is "twenty-six trillion, four hundred forty-seven billion, three hundred seventy-nine million, seven hundred eighty-two thousand, eight hundred".