211542096960 has 448 divisors, whose sum is σ = 776610892800. Its totient is φ = 54163759104.

The previous prime is 211542096797. The next prime is 211542096973. The reversal of 211542096960 is 69690245112.

211542096960 is a `hidden beast` number, since 2 + 11 + 542 + 0 + 9 + 6 + 96 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 21517326 + ... + 21527154.

Almost surely, 2^211542096960 is an apocalyptic number.

211542096960 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 211542096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388305446400).

211542096960 is an abundant number, since it is smaller than the sum of its proper divisors (565068795840).

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

211542096960 is a wasteful number, since it uses less digits than its factorization.

211542096960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9955 (or 9939 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 211542096960 in words is "two hundred eleven billion, five hundred forty-two million, ninety-six thousand, nine hundred sixty".