213672199104 has 1120 divisors, whose sum is σ = 848160051200. Its totient is φ = 51597803520.

The previous prime is 213672199057. The next prime is 213672199109. The reversal of 213672199104 is 401991276312.

It is a self number, because there is not a number n which added to its sum of digits gives 213672199104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213672199109) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 277856832 + ... + 277857600.

It is an arithmetic number, because the mean of its divisors is an integer number (757285760).

Almost surely, 2^213672199104 is an apocalyptic number.

213672199104 is a gapful number since it is divisible by the number (24) 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 213672199104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424080025600).

213672199104 is an abundant number, since it is smaller than the sum of its proper divisors (634487852096).

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

213672199104 is a wasteful number, since it uses less digits than its factorization.

213672199104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 213672199104 in words is "two hundred thirteen billion, six hundred seventy-two million, one hundred ninety-nine thousand, one hundred four".