213066085680 has 240 divisors, whose sum is σ = 823186550784. Its totient is φ = 48378124800.

The previous prime is 213066085651. The next prime is 213066085699. The reversal of 213066085680 is 86580660312.

213066085680 is a `hidden beast` number, since 2 + 1 + 30 + 6 + 608 + 5 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 621057 + ... + 901023.

Almost surely, 2^213066085680 is an apocalyptic number.

213066085680 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 213066085680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411593275392).

213066085680 is an abundant number, since it is smaller than the sum of its proper divisors (610120465104).

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

213066085680 is a wasteful number, since it uses less digits than its factorization.

213066085680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280144 (or 280135 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 213066085680 in words is "two hundred thirteen billion, sixty-six million, eighty-five thousand, six hundred eighty".