26971241058216 has 3072 divisors, whose sum is σ = 106667753472000. Its totient is φ = 6230434775040.

The previous prime is 26971241058133. The next prime is 26971241058253. The reversal of 26971241058216 is 61285014217962.

26971241058216 is a `hidden beast` number, since 2 + 6 + 9 + 7 + 1 + 2 + 41 + 0 + 582 + 16 = 666.

It is a super-2 number, since 2×26971241058216² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 278054031480 + ... + 278054031576.

It is an arithmetic number, because the mean of its divisors is an integer number (34722576000).

Almost surely, 2^{26971241058216} is an apocalyptic number.

26971241058216 is a gapful number since it is divisible by the number (26) 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 26971241058216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53333876736000).

26971241058216 is an abundant number, since it is smaller than the sum of its proper divisors (79696512413784).

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

26971241058216 is a wasteful number, since it uses less digits than its factorization.

26971241058216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 26971241058216 in words is "twenty-six trillion, nine hundred seventy-one billion, two hundred forty-one million, fifty-eight thousand, two hundred sixteen".