213989565971520 has 672 divisors, whose sum is σ = 746493945200640. Its totient is φ = 56260304179200.

The previous prime is 213989565971513. The next prime is 213989565971521. The reversal of 213989565971520 is 25179565989312.

213989565971520 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 8 + 9 + 5 + 6 + 5 + 97 + 1 + 520 = 666.

It is a super-2 number, since 2×213989565971520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (213989565971521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33651446101 + ... + 33651452459.

It is an arithmetic number, because the mean of its divisors is an integer number (1110854085120).

Almost surely, 2^{213989565971520} is an apocalyptic number.

213989565971520 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 213989565971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373246972600320).

213989565971520 is an abundant number, since it is smaller than the sum of its proper divisors (532504379229120).

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

213989565971520 is a wasteful number, since it uses less digits than its factorization.

213989565971520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7103 (or 7090 counting only the distinct ones).

The product of its (nonzero) digits is 367416000, while the sum is 72.

The spelling of 213989565971520 in words is "two hundred thirteen trillion, nine hundred eighty-nine billion, five hundred sixty-five million, nine hundred seventy-one thousand, five hundred twenty".