26971475309856 has 1152 divisors, whose sum is σ = 103902336824832. Its totient is φ = 6421413888000.

The previous prime is 26971475309803. The next prime is 26971475309917. The reversal of 26971475309856 is 65890357417962.

26971475309856 is a `hidden beast` number, since 2 + 6 + 9 + 7 + 1 + 4 + 7 + 530 + 9 + 85 + 6 = 666.

It is a super-2 number, since 2×26971475309856² (a number of 28 digits) contains 22 as substring.

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

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 191 ways as a sum of consecutive naturals, for example, 11762526246 + ... + 11762528538.

It is an arithmetic number, because the mean of its divisors is an integer number (90193000716).

It is a 1-persistent number, because it is pandigital, but 2⋅26971475309856 = 53942950619712 is not.

Almost surely, 2^{26971475309856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26971475309856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51951168412416).

26971475309856 is an abundant number, since it is smaller than the sum of its proper divisors (76930861514976).

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

26971475309856 is a wasteful number, since it uses less digits than its factorization.

26971475309856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3135 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 26971475309856 in words is "twenty-six trillion, nine hundred seventy-one billion, four hundred seventy-five million, three hundred nine thousand, eight hundred fifty-six".