191010166272 has 240 divisors, whose sum is σ = 561279932928. Its totient is φ = 62521159680.

The previous prime is 191010166231. The next prime is 191010166273. The reversal of 191010166272 is 272661010191.

191010166272 is a `hidden beast` number, since 1 + 9 + 1 + 0 + 10 + 16 + 627 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191010166273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92587513 + ... + 92589575.

Almost surely, 2^191010166272 is an apocalyptic number.

191010166272 is a gapful number since it is divisible by the number (12) 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 191010166272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280639966464).

191010166272 is an abundant number, since it is smaller than the sum of its proper divisors (370269766656).

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

191010166272 is a wasteful number, since it uses less digits than its factorization.

191010166272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 191010166272 in words is "one hundred ninety-one billion, ten million, one hundred sixty-six thousand, two hundred seventy-two".