213197858160 has 640 divisors, whose sum is σ = 825031194624. Its totient is φ = 44431441920.

The previous prime is 213197858147. The next prime is 213197858267. The reversal of 213197858160 is 61858791312.

It is a super-2 number, since 2×213197858160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 190865922 + ... + 190867038.

Almost surely, 2^213197858160 is an apocalyptic number.

213197858160 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 213197858160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412515597312).

213197858160 is an abundant number, since it is smaller than the sum of its proper divisors (611833336464).

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

213197858160 is a wasteful number, since it uses less digits than its factorization.

213197858160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The spelling of 213197858160 in words is "two hundred thirteen billion, one hundred ninety-seven million, eight hundred fifty-eight thousand, one hundred sixty".