212385317760 has 1440 divisors, whose sum is σ = 971201606760. Its totient is φ = 44068147200.

The previous prime is 212385317689. The next prime is 212385317843. The reversal of 212385317760 is 67713583212.

212385317760 is a `hidden beast` number, since 2 + 12 + 38 + 531 + 7 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 179 ways as a sum of consecutive naturals, for example, 307359015 + ... + 307359705.

Almost surely, 2^212385317760 is an apocalyptic number.

212385317760 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 212385317760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485600803380).

212385317760 is an abundant number, since it is smaller than the sum of its proper divisors (758816289000).

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

212385317760 is a wasteful number, since it uses less digits than its factorization.

212385317760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 212385317760 in words is "two hundred twelve billion, three hundred eighty-five million, three hundred seventeen thousand, seven hundred sixty".