23330020320 has 144 divisors (see below), whose sum is σ = 79655153760. Its totient is φ = 6218099712.

The previous prime is 23330020313. The next prime is 23330020349. The reversal of 23330020320 is 2302003332.

23330020320 is a `hidden beast` number, since 23 + 3 + 300 + 20 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×23330020320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23330020293 and 23330020302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4255341 + ... + 4260819.

It is an arithmetic number, because the mean of its divisors is an integer number (553160790).

Almost surely, 2^23330020320 is an apocalyptic number.

23330020320 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 23330020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39827576880).

23330020320 is an abundant number, since it is smaller than the sum of its proper divisors (56325133440).

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

23330020320 is a wasteful number, since it uses less digits than its factorization.

23330020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8457 (or 8446 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 23330020320 its reverse (2302003332), we get a palindrome (25632023652).

The spelling of 23330020320 in words is "twenty-three billion, three hundred thirty million, twenty thousand, three hundred twenty".