211888742400 has 840 divisors, whose sum is σ = 803063008044. Its totient is φ = 55207526400.

The previous prime is 211888742399. The next prime is 211888742419. The reversal of 211888742400 is 4247888112.

211888742400 is a `hidden beast` number, since 21 + 188 + 8 + 7 + 42 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 127946428416 + 83942313984 = 357696^2 + 289728^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 879206280 + ... + 879206520.

Almost surely, 2^211888742400 is an apocalyptic number.

211888742400 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 211888742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401531504022).

211888742400 is an abundant number, since it is smaller than the sum of its proper divisors (591174265644).

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

211888742400 is an equidigital number, since it uses as much as digits as its factorization.

211888742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 211888742400 in words is "two hundred eleven billion, eight hundred eighty-eight million, seven hundred forty-two thousand, four hundred".