211949700900 has 216 divisors, whose sum is σ = 730763290656. Its totient is φ = 47263910400.

The previous prime is 211949700889. The next prime is 211949700913. The reversal of 211949700900 is 9007949112.

211949700900 is digitally balanced in base 2, 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 (42).

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 71 ways as a sum of consecutive naturals, for example, 426867 + ... + 778533.

Almost surely, 2^211949700900 is an apocalyptic number.

211949700900 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 211949700900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365381645328).

211949700900 is an abundant number, since it is smaller than the sum of its proper divisors (518813589756).

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

211949700900 is a wasteful number, since it uses less digits than its factorization.

211949700900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351739 (or 351725 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The spelling of 211949700900 in words is "two hundred eleven billion, nine hundred forty-nine million, seven hundred thousand, nine hundred".