212688445680 has 800 divisors, whose sum is σ = 828494472960. Its totient is φ = 50254110720.

The previous prime is 212688445679. The next prime is 212688445687. The reversal of 212688445680 is 86544886212.

212688445680 is a `hidden beast` number, since 2 + 12 + 68 + 8 + 4 + 4 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212688445687) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 642563115 + ... + 642563445.

Almost surely, 2^212688445680 is an apocalyptic number.

212688445680 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 212688445680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414247236480).

212688445680 is an abundant number, since it is smaller than the sum of its proper divisors (615806027280).

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

212688445680 is a wasteful number, since it uses less digits than its factorization.

212688445680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 212688445680 in words is "two hundred twelve billion, six hundred eighty-eight million, four hundred forty-five thousand, six hundred eighty".