211993666560 has 1232 divisors, whose sum is σ = 872789477616. Its totient is φ = 48922361856.

The previous prime is 211993666559. The next prime is 211993666579. The reversal of 211993666560 is 65666399112.

It can be written as a sum of positive squares in 8 ways, for example, as 9364045824 + 202629620736 = 96768^2 + 450144^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 211993666497 and 211993666506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 824877952 + ... + 824878208.

Almost surely, 2^211993666560 is an apocalyptic number.

211993666560 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 211993666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436394738808).

211993666560 is an abundant number, since it is smaller than the sum of its proper divisors (660795811056).

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

211993666560 is a wasteful number, since it uses less digits than its factorization.

211993666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 211993666560 in words is "two hundred eleven billion, nine hundred ninety-three million, six hundred sixty-six thousand, five hundred sixty".