211982890560 has 896 divisors, whose sum is σ = 853635072000. Its totient is φ = 44381675520.

The previous prime is 211982890489. The next prime is 211982890573. The reversal of 211982890560 is 65098289112.

211982890560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211982890560² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 193945374 + ... + 193946466.

Almost surely, 2^211982890560 is an apocalyptic number.

211982890560 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 211982890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426817536000).

211982890560 is an abundant number, since it is smaller than the sum of its proper divisors (641652181440).

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

211982890560 is a wasteful number, since it uses less digits than its factorization.

211982890560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The spelling of 211982890560 in words is "two hundred eleven billion, nine hundred eighty-two million, eight hundred ninety thousand, five hundred sixty".