213024420096 has 144 divisors (see below), whose sum is σ = 599895522240. Its totient is φ = 66921431040.

The previous prime is 213024420073. The next prime is 213024420101. The reversal of 213024420096 is 690024420312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2778436 + ... + 2854076.

Almost surely, 2^213024420096 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 213024420096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299947761120).

213024420096 is an abundant number, since it is smaller than the sum of its proper divisors (386871102144).

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

213024420096 is a wasteful number, since it uses less digits than its factorization.

213024420096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75872 (or 75858 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 213024420096 in words is "two hundred thirteen billion, twenty-four million, four hundred twenty thousand, ninety-six".