213112085760 has 324 divisors, whose sum is σ = 857730847428. Its totient is φ = 48711204864.

The previous prime is 213112085723. The next prime is 213112085761. The reversal of 213112085760 is 67580211312.

It can be written as a sum of positive squares in 2 ways, for example, as 107762505984 + 105349579776 = 328272^2 + 324576^2 .

It is a super-2 number, since 2×213112085760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213112085761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 375712 + ... + 753248.

Almost surely, 2^213112085760 is an apocalyptic number.

213112085760 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 213112085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428865423714).

213112085760 is an abundant number, since it is smaller than the sum of its proper divisors (644618761668).

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

213112085760 is a wasteful number, since it uses less digits than its factorization.

213112085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377578 (or 377554 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 213112085760 in words is "two hundred thirteen billion, one hundred twelve million, eighty-five thousand, seven hundred sixty".