211876090000 has 75 divisors (see below), whose sum is σ = 513084668943. Its totient is φ = 84732024000.

The previous prime is 211876089973. The next prime is 211876090003. The reversal of 211876090000 is 90678112.

It is a happy number.

The square root of 211876090000 is 460300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 16611085456 + 195265004544 = 128884^2 + 441888^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211876090003) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 46027699 + ... + 46032301.

Almost surely, 2^211876090000 is an apocalyptic number.

211876090000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

211876090000 is the 460300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211876090000

211876090000 is an abundant number, since it is smaller than the sum of its proper divisors (301208578943).

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

211876090000 is an frugal number, since it uses more digits than its factorization.

211876090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9234 (or 4610 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The spelling of 211876090000 in words is "two hundred eleven billion, eight hundred seventy-six million, ninety thousand".