213157160832 has 256 divisors, whose sum is σ = 709827955200. Its totient is φ = 55058227200.

The previous prime is 213157160771. The next prime is 213157160837. The reversal of 213157160832 is 238061751312.

It is a happy number.

It is a super-2 number, since 2×213157160832² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213157160837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5331894 + ... + 5371722.

It is an arithmetic number, because the mean of its divisors is an integer number (2772765450).

Almost surely, 2^213157160832 is an apocalyptic number.

213157160832 is a gapful number since it is divisible by the number (22) 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 213157160832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354913977600).

213157160832 is an abundant number, since it is smaller than the sum of its proper divisors (496670794368).

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

213157160832 is a wasteful number, since it uses less digits than its factorization.

213157160832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40045 (or 40033 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 213157160832 in words is "two hundred thirteen billion, one hundred fifty-seven million, one hundred sixty thousand, eight hundred thirty-two".