211990204800 has 1152 divisors, whose sum is σ = 890849232000. Its totient is φ = 47443968000.

The previous prime is 211990204771. The next prime is 211990204801. The reversal of 211990204800 is 8402099112.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×211990204800² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211990204801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 246786771 + ... + 246787629.

It is an arithmetic number, because the mean of its divisors is an integer number (773306625).

Almost surely, 2^211990204800 is an apocalyptic number.

211990204800 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 211990204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445424616000).

211990204800 is an abundant number, since it is smaller than the sum of its proper divisors (678859027200).

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

211990204800 is a wasteful number, since it uses less digits than its factorization.

211990204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 211990204800 in words is "two hundred eleven billion, nine hundred ninety million, two hundred four thousand, eight hundred".