211312712520 has 2304 divisors, whose sum is σ = 994511831040. Its totient is φ = 39283605504.

The previous prime is 211312712489. The next prime is 211312712531. The reversal of 211312712520 is 25217213112.

It is a happy number.

211312712520 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 127 + 12 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4496015137 + ... + 4496015183.

It is an arithmetic number, because the mean of its divisors is an integer number (431645760).

Almost surely, 2^211312712520 is an apocalyptic number.

211312712520 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 211312712520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497255915520).

211312712520 is an abundant number, since it is smaller than the sum of its proper divisors (783199118520).

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

211312712520 is a wasteful number, since it uses less digits than its factorization.

211312712520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 211312712520 its reverse (25217213112), we get a palindrome (236529925632).

The spelling of 211312712520 in words is "two hundred eleven billion, three hundred twelve million, seven hundred twelve thousand, five hundred twenty".