213135969911760 has 960 divisors, whose sum is σ = 838250441633280. Its totient is φ = 47529221160960.

The previous prime is 213135969911747. The next prime is 213135969911773. The reversal of 213135969911760 is 67119969531312.

213135969911760 is a `hidden beast` number, since 2 + 1 + 31 + 3 + 596 + 9 + 9 + 1 + 1 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (213135969911747) and next prime (213135969911773).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14924435820 + ... + 14924450100.

It is an arithmetic number, because the mean of its divisors is an integer number (873177543368).

Almost surely, 2^{213135969911760} is an apocalyptic number.

213135969911760 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 213135969911760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419125220816640).

213135969911760 is an abundant number, since it is smaller than the sum of its proper divisors (625114471721520).

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

213135969911760 is a wasteful number, since it uses less digits than its factorization.

213135969911760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14796 (or 14787 counting only the distinct ones).

The product of its (nonzero) digits is 16533720, while the sum is 63.

The spelling of 213135969911760 in words is "two hundred thirteen trillion, one hundred thirty-five billion, nine hundred sixty-nine million, nine hundred eleven thousand, seven hundred sixty".