211979661120 has 448 divisors, whose sum is σ = 755806464000. Its totient is φ = 55928143872.

The previous prime is 211979661083. The next prime is 211979661121. The reversal of 211979661120 is 21166979112.

211979661120 is a `hidden beast` number, since 2 + 1 + 1 + 9 + 7 + 9 + 6 + 611 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211979661121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 518287476 + ... + 518287884.

It is an arithmetic number, because the mean of its divisors is an integer number (1687068000).

Almost surely, 2^211979661120 is an apocalyptic number.

211979661120 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 211979661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377903232000).

211979661120 is an abundant number, since it is smaller than the sum of its proper divisors (543826802880).

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

211979661120 is a wasteful number, since it uses less digits than its factorization.

211979661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

It can be divided in two parts, 2119796 and 61120, that added together give a triangular number (2180916 = T₂₀₈₈).

The spelling of 211979661120 in words is "two hundred eleven billion, nine hundred seventy-nine million, six hundred sixty-one thousand, one hundred twenty".