211987432290816 has 1440 divisors, whose sum is σ = 834608981606400. Its totient is φ = 51139395256320.

The previous prime is 211987432290779. The next prime is 211987432290847. The reversal of 211987432290816 is 618092234789112.

211987432290816 is a `hidden beast` number, since 2 + 1 + 198 + 7 + 432 + 2 + 9 + 0 + 8 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 143 ways as a sum of consecutive naturals, for example, 1617282561 + ... + 1617413631.

It is an arithmetic number, because the mean of its divisors is an integer number (579589570560).

Almost surely, 2^{211987432290816} is an apocalyptic number.

211987432290816 is a gapful number since it is divisible by the number (26) 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 211987432290816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417304490803200).

211987432290816 is an abundant number, since it is smaller than the sum of its proper divisors (622621549315584).

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

211987432290816 is a wasteful number, since it uses less digits than its factorization.

211987432290816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131170 (or 131144 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 211987432290816 in words is "two hundred eleven trillion, nine hundred eighty-seven billion, four hundred thirty-two million, two hundred ninety thousand, eight hundred sixteen".