212669161920 has 336 divisors, whose sum is σ = 738259310880. Its totient is φ = 56189952000.

The previous prime is 212669161907. The next prime is 212669161931. The reversal of 212669161920 is 29161966212.

212669161920 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 6 + 9 + 1 + 619 + 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 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 47 ways as a sum of consecutive naturals, for example, 163465270 + ... + 163466570.

It is an arithmetic number, because the mean of its divisors is an integer number (2197200330).

Almost surely, 2^212669161920 is an apocalyptic number.

212669161920 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 212669161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369129655440).

212669161920 is an abundant number, since it is smaller than the sum of its proper divisors (525590148960).

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

212669161920 is a wasteful number, since it uses less digits than its factorization.

212669161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 212669161920 in words is "two hundred twelve billion, six hundred sixty-nine million, one hundred sixty-one thousand, nine hundred twenty".