211314953520 has 320 divisors, whose sum is σ = 815495662080. Its totient is φ = 49843123200.

The previous prime is 211314953513. The next prime is 211314953599. The reversal of 211314953520 is 25359413112.

It is a happy number.

211314953520 is a `hidden beast` number, since 2 + 1 + 131 + 495 + 35 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 758935 + ... + 999305.

It is an arithmetic number, because the mean of its divisors is an integer number (2548423944).

Almost surely, 2^211314953520 is an apocalyptic number.

211314953520 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 211314953520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407747831040).

211314953520 is an abundant number, since it is smaller than the sum of its proper divisors (604180708560).

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

211314953520 is a wasteful number, since it uses less digits than its factorization.

211314953520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240441 (or 240429 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 211314953520 in words is "two hundred eleven billion, three hundred fourteen million, nine hundred fifty-three thousand, five hundred twenty".