26883483346944 has 1152 divisors, whose sum is σ = 96567506380800. Its totient is φ = 7039879741440.

The previous prime is 26883483346883. The next prime is 26883483346961. The reversal of 26883483346944 is 44964338438862.

It is a happy number.

26883483346944 is a `hidden beast` number, since 2 + 6 + 8 + 83 + 4 + 83 + 3 + 469 + 4 + 4 = 666.

26883483346944 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6147604342 + ... + 6147608714.

It is an arithmetic number, because the mean of its divisors is an integer number (83825960400).

Almost surely, 2^{26883483346944} is an apocalyptic number.

26883483346944 is a gapful number since it is divisible by the number (24) 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 26883483346944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48283753190400).

26883483346944 is an abundant number, since it is smaller than the sum of its proper divisors (69684023033856).

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

26883483346944 is a wasteful number, since it uses less digits than its factorization.

26883483346944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4521 (or 4498 counting only the distinct ones).

The product of its digits is 2293235712, while the sum is 72.

The spelling of 26883483346944 in words is "twenty-six trillion, eight hundred eighty-three billion, four hundred eighty-three million, three hundred forty-six thousand, nine hundred forty-four".