212085941760 has 1600 divisors, whose sum is σ = 975370429440. Its totient is φ = 42759290880.

The previous prime is 212085941741. The next prime is 212085941803. The reversal of 212085941760 is 67149580212.

212085941760 is a `hidden beast` number, since 2 + 120 + 8 + 59 + 417 + 60 = 666.

It is a super-2 number, since 2×212085941760² (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 590768461 + ... + 590768819.

Almost surely, 2^212085941760 is an apocalyptic number.

212085941760 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 212085941760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487685214720).

212085941760 is an abundant number, since it is smaller than the sum of its proper divisors (763284487680).

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

212085941760 is a wasteful number, since it uses less digits than its factorization.

212085941760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

212085941760 divided by its product of nonzero digits (241920) gives a palindrome (876678).

The spelling of 212085941760 in words is "two hundred twelve billion, eighty-five million, nine hundred forty-one thousand, seven hundred sixty".