26484834055680 has 7680 divisors, whose sum is σ = 142194498969600. Its totient is φ = 4521921085440.

The previous prime is 26484834055637. The next prime is 26484834055681. The reversal of 26484834055680 is 8655043848462.

26484834055680 is a `hidden beast` number, since 2 + 6 + 4 + 8 + 48 + 34 + 0 + 556 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26484834055681) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 297582405076 + ... + 297582405164.

It is an arithmetic number, because the mean of its divisors is an integer number (18514908720).

Almost surely, 2^{26484834055680} is an apocalyptic number.

26484834055680 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 26484834055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71097249484800).

26484834055680 is an abundant number, since it is smaller than the sum of its proper divisors (115709664913920).

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

26484834055680 is a wasteful number, since it uses less digits than its factorization.

26484834055680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 176947200, while the sum is 63.

The spelling of 26484834055680 in words is "twenty-six trillion, four hundred eighty-four billion, eight hundred thirty-four million, fifty-five thousand, six hundred eighty".