211011022890 has 256 divisors, whose sum is σ = 617766912000. Its totient is φ = 51052861440.

The previous prime is 211011022811. The next prime is 211011022919. The reversal of 211011022890 is 98220110112.

211011022890 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 15419071 + ... + 15432749.

It is an arithmetic number, because the mean of its divisors is an integer number (2413152000).

Almost surely, 2^211011022890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211011022890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308883456000).

211011022890 is an abundant number, since it is smaller than the sum of its proper divisors (406755889110).

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

211011022890 is a wasteful number, since it uses less digits than its factorization.

211011022890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13842 (or 13836 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 211011022890 in words is "two hundred eleven billion, eleven million, twenty-two thousand, eight hundred ninety".