213162064320 has 448 divisors, whose sum is σ = 749907486720. Its totient is φ = 51026460672.

The previous prime is 213162064279. The next prime is 213162064327. The reversal of 213162064320 is 23460261312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213162064327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188805516 + ... + 188806644.

It is an arithmetic number, because the mean of its divisors is an integer number (1673900640).

Almost surely, 2^213162064320 is an apocalyptic number.

213162064320 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 213162064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374953743360).

213162064320 is an abundant number, since it is smaller than the sum of its proper divisors (536745422400).

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

213162064320 is a wasteful number, since it uses less digits than its factorization.

213162064320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 213162064320 in words is "two hundred thirteen billion, one hundred sixty-two million, sixty-four thousand, three hundred twenty".