213211427520 has 1344 divisors, whose sum is σ = 907090652160. Its totient is φ = 41405644800.

The previous prime is 213211427431. The next prime is 213211427521. The reversal of 213211427520 is 25724112312.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×213211427520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (213211427521) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 884694600 + ... + 884694840.

It is an arithmetic number, because the mean of its divisors is an integer number (674918640).

Almost surely, 2^213211427520 is an apocalyptic number.

213211427520 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 213211427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453545326080).

213211427520 is an abundant number, since it is smaller than the sum of its proper divisors (693879224640).

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

213211427520 is a wasteful number, since it uses less digits than its factorization.

213211427520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 213211427520 its reverse (25724112312), we get a palindrome (238935539832).

The spelling of 213211427520 in words is "two hundred thirteen billion, two hundred eleven million, four hundred twenty-seven thousand, five hundred twenty".