213121155828672 has 1344 divisors, whose sum is σ = 782021191311360. Its totient is φ = 53999107964928.

The previous prime is 213121155828661. The next prime is 213121155828677. The reversal of 213121155828672 is 276828551121312.

213121155828672 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 2 + 1 + 1 + 558 + 2 + 86 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213121155828677) 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, 67294332433 + ... + 67294335599.

It is an arithmetic number, because the mean of its divisors is an integer number (581861005440).

Almost surely, 2^{213121155828672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213121155828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391010595655680).

213121155828672 is an abundant number, since it is smaller than the sum of its proper divisors (568900035482688).

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

213121155828672 is a wasteful number, since it uses less digits than its factorization.

213121155828672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730 (or 3717 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The spelling of 213121155828672 in words is "two hundred thirteen trillion, one hundred twenty-one billion, one hundred fifty-five million, eight hundred twenty-eight thousand, six hundred seventy-two".