213371635760 has 160 divisors (see below), whose sum is σ = 520071088320. Its totient is φ = 81350590464.

The previous prime is 213371635663. The next prime is 213371635793. The reversal of 213371635760 is 67536173312.

It is a super-2 number, since 2×213371635760² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 20732696 + ... + 20742984.

It is an arithmetic number, because the mean of its divisors is an integer number (3250444302).

Almost surely, 2^213371635760 is an apocalyptic number.

213371635760 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 213371635760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260035544160).

213371635760 is an abundant number, since it is smaller than the sum of its proper divisors (306699452560).

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

213371635760 is a wasteful number, since it uses less digits than its factorization.

213371635760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10495 (or 10489 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 44.

The spelling of 213371635760 in words is "two hundred thirteen billion, three hundred seventy-one million, six hundred thirty-five thousand, seven hundred sixty".