211380019200 has 1344 divisors, whose sum is σ = 915309035520. Its totient is φ = 46820229120.

The previous prime is 211380019183. The next prime is 211380019219. The reversal of 211380019200 is 2910083112.

It is a tau number, because it is divible by the number of its divisors (1344).

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 95 ways as a sum of consecutive naturals, for example, 1664409537 + ... + 1664409663.

Almost surely, 2^211380019200 is an apocalyptic number.

211380019200 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 211380019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457654517760).

211380019200 is an abundant number, since it is smaller than the sum of its proper divisors (703929016320).

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

211380019200 is a wasteful number, since it uses less digits than its factorization.

211380019200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 211380019200 in words is "two hundred eleven billion, three hundred eighty million, nineteen thousand, two hundred".