211142491200 has 252 divisors, whose sum is σ = 751758811440. Its totient is φ = 56206494720.

The previous prime is 211142491181. The next prime is 211142491253. The reversal of 211142491200 is 2194241112.

It is a happy number.

211142491200 is a `hidden beast` number, since 2 + 11 + 142 + 491 + 20 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8440311 + ... + 8465289.

Almost surely, 2^211142491200 is an apocalyptic number.

211142491200 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 211142491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375879405720).

211142491200 is an abundant number, since it is smaller than the sum of its proper divisors (540616320240).

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

211142491200 is a wasteful number, since it uses less digits than its factorization.

211142491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25594 (or 25576 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 211142491200 in words is "two hundred eleven billion, one hundred forty-two million, four hundred ninety-one thousand, two hundred".