211214275920 has 160 divisors (see below), whose sum is σ = 727766812800. Its totient is φ = 56304377856.

The previous prime is 211214275919. The next prime is 211214275949. The reversal of 211214275920 is 29572412112.

It is a happy number.

211214275920 is a `hidden beast` number, since 2 + 1 + 1 + 21 + 42 + 7 + 592 + 0 = 666.

It is a super-2 number, since 2×211214275920² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6903216 + ... + 6933744.

It is an arithmetic number, because the mean of its divisors is an integer number (4548542580).

Almost surely, 2^211214275920 is an apocalyptic number.

211214275920 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 211214275920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363883406400).

211214275920 is an abundant number, since it is smaller than the sum of its proper divisors (516552536880).

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

211214275920 is a wasteful number, since it uses less digits than its factorization.

211214275920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33754 (or 33742 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 211214275920 in words is "two hundred eleven billion, two hundred fourteen million, two hundred seventy-five thousand, nine hundred twenty".