211728710400 has 432 divisors, whose sum is σ = 727228121088. Its totient is φ = 54190080000.

The previous prime is 211728710329. The next prime is 211728710407. The reversal of 211728710400 is 4017827112.

It is not an unprimeable number, because it can be changed into a prime (211728710407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75589000 + ... + 75591800.

Almost surely, 2^211728710400 is an apocalyptic number.

211728710400 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 211728710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363614060544).

211728710400 is an abundant number, since it is smaller than the sum of its proper divisors (515499410688).

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

211728710400 is a wasteful number, since it uses less digits than its factorization.

211728710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The spelling of 211728710400 in words is "two hundred eleven billion, seven hundred twenty-eight million, seven hundred ten thousand, four hundred".