211601924720 has 80 divisors (see below), whose sum is σ = 495355899360. Its totient is φ = 84059569152.

The previous prime is 211601924621. The next prime is 211601924767. The reversal of 211601924720 is 27429106112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40855091 + ... + 40860269.

It is an arithmetic number, because the mean of its divisors is an integer number (6191948742).

Almost surely, 2^211601924720 is an apocalyptic number.

211601924720 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 211601924720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247677949680).

211601924720 is an abundant number, since it is smaller than the sum of its proper divisors (283753974640).

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

211601924720 is a wasteful number, since it uses less digits than its factorization.

211601924720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8602 (or 8596 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 211601924720 in words is "two hundred eleven billion, six hundred one million, nine hundred twenty-four thousand, seven hundred twenty".