211633013191680 has 2112 divisors, whose sum is σ = 832764555657216. Its totient is φ = 51370868736000.

The previous prime is 211633013191679. The next prime is 211633013191759. The reversal of 211633013191680 is 86191310336112.

211633013191680 is a `hidden beast` number, since 2 + 1 + 1 + 633 + 0 + 1 + 3 + 1 + 9 + 1 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 54112248925 + ... + 54112252835.

Almost surely, 2^{211633013191680} is an apocalyptic number.

211633013191680 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 211633013191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416382277828608).

211633013191680 is an abundant number, since it is smaller than the sum of its proper divisors (621131542465536).

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

211633013191680 is a wasteful number, since it uses less digits than its factorization.

211633013191680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4066 (or 4036 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 211633013191680 in words is "two hundred eleven trillion, six hundred thirty-three billion, thirteen million, one hundred ninety-one thousand, six hundred eighty".