211132258960 has 160 divisors (see below), whose sum is σ = 568713600000. Its totient is φ = 71395983360.

The previous prime is 211132258957. The next prime is 211132258963. The reversal of 211132258960 is 69852231112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211132258957) and next prime (211132258963).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (211132258963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55253850 + ... + 55257670.

It is an arithmetic number, because the mean of its divisors is an integer number (3554460000).

Almost surely, 2^211132258960 is an apocalyptic number.

211132258960 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 211132258960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284356800000).

211132258960 is an abundant number, since it is smaller than the sum of its proper divisors (357581341040).

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

211132258960 is a wasteful number, since it uses less digits than its factorization.

211132258960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5169 (or 5163 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 211132258960 in words is "two hundred eleven billion, one hundred thirty-two million, two hundred fifty-eight thousand, nine hundred sixty".