211612436640 has 576 divisors, whose sum is σ = 799959888000. Its totient is φ = 50512896000.

The previous prime is 211612436611. The next prime is 211612436641. The reversal of 211612436640 is 46634216112.

211612436640 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 1 + 2 + 4 + 3 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 211612436595 and 211612436604.

It is not an unprimeable number, because it can be changed into a prime (211612436641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 558343971 + ... + 558344349.

It is an arithmetic number, because the mean of its divisors is an integer number (1388819250).

Almost surely, 2^211612436640 is an apocalyptic number.

211612436640 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 211612436640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399979944000).

211612436640 is an abundant number, since it is smaller than the sum of its proper divisors (588347451360).

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

211612436640 is a wasteful number, since it uses less digits than its factorization.

211612436640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 211612436640 in words is "two hundred eleven billion, six hundred twelve million, four hundred thirty-six thousand, six hundred forty".