26966815196160 has 1408 divisors, whose sum is σ = 105690731249664. Its totient is φ = 5734734888960.

The previous prime is 26966815196147. The next prime is 26966815196177. The reversal of 26966815196160 is 6169151866962.

It is a junction number, because it is equal to n+sod(n) for n = 26966815196091 and 26966815196100.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39025781415 + ... + 39025782105.

It is an arithmetic number, because the mean of its divisors is an integer number (75064439808).

Almost surely, 2^{26966815196160} is an apocalyptic number.

26966815196160 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 26966815196160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52845365624832).

26966815196160 is an abundant number, since it is smaller than the sum of its proper divisors (78723916053504).

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

26966815196160 is a wasteful number, since it uses less digits than its factorization.

26966815196160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 66.

The spelling of 26966815196160 in words is "twenty-six trillion, nine hundred sixty-six billion, eight hundred fifteen million, one hundred ninety-six thousand, one hundred sixty".