213060551010444 has 432 divisors, whose sum is σ = 583936665661440. Its totient is φ = 65302967232000.

The previous prime is 213060551010431. The next prime is 213060551010449. The reversal of 213060551010444 is 444010155060312.

213060551010444 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 60 + 55 + 101 + 0 + 444 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 213060551010399 and 213060551010408.

It is not an unprimeable number, because it can be changed into a prime (213060551010449) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 163014958039 + ... + 163014959345.

Almost surely, 2^{213060551010444} 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 213060551010444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291968332830720).

213060551010444 is an abundant number, since it is smaller than the sum of its proper divisors (370876114650996).

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

213060551010444 is a wasteful number, since it uses less digits than its factorization.

213060551010444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 213060551010444 in words is "two hundred thirteen trillion, sixty billion, five hundred fifty-one million, ten thousand, four hundred forty-four".