211172749056 has 180 divisors, whose sum is σ = 657057756432. Its totient is φ = 67330289664.

The previous prime is 211172749043. The next prime is 211172749063. The reversal of 211172749056 is 650947271112.

211172749056 is a `hidden beast` number, since 21 + 117 + 27 + 490 + 5 + 6 = 666.

It is a super-2 number, since 2×211172749056² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 255540 + ... + 698316.

Almost surely, 2^211172749056 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 211172749056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328528878216).

211172749056 is an abundant number, since it is smaller than the sum of its proper divisors (445885007376).

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

211172749056 is an equidigital number, since it uses as much as digits as its factorization.

211172749056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442828 (or 442805 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 211172749056 in words is "two hundred eleven billion, one hundred seventy-two million, seven hundred forty-nine thousand, fifty-six".