26971112881152 has 528 divisors, whose sum is σ = 88934891894784. Its totient is φ = 7797952512000.

The previous prime is 26971112881123. The next prime is 26971112881171. The reversal of 26971112881152 is 25118821117962.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

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, 223068138 + ... + 223189014.

Almost surely, 2^{26971112881152} is an apocalyptic number.

26971112881152 is a gapful number since it is divisible by the number (22) 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 26971112881152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44467445947392).

26971112881152 is an abundant number, since it is smaller than the sum of its proper divisors (61963779013632).

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

26971112881152 is a wasteful number, since it uses less digits than its factorization.

26971112881152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121016 (or 120995 counting only the distinct ones).

The product of its digits is 967680, while the sum is 54.

The spelling of 26971112881152 in words is "twenty-six trillion, nine hundred seventy-one billion, one hundred twelve million, eight hundred eighty-one thousand, one hundred fifty-two".