26301284782080 has 1664 divisors, whose sum is σ = 111737716531200. Its totient is φ = 5226524835840.

The previous prime is 26301284782079. The next prime is 26301284782093. The reversal of 26301284782080 is 8028748210362.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5331699294 + ... + 5331704226.

Almost surely, 2^{26301284782080} is an apocalyptic number.

26301284782080 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 26301284782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55868858265600).

26301284782080 is an abundant number, since it is smaller than the sum of its proper divisors (85436431749120).

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

26301284782080 is a wasteful number, since it uses less digits than its factorization.

26301284782080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5020 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 26301284782080 in words is "twenty-six trillion, three hundred one billion, two hundred eighty-four million, seven hundred eighty-two thousand, eighty".