23133819240 has 768 divisors, whose sum is σ = 93610598400. Its totient is φ = 5063385600.

The previous prime is 23133819211. The next prime is 23133819257. The reversal of 23133819240 is 4291833132.

23133819240 is a `hidden beast` number, since 2 + 31 + 3 + 381 + 9 + 240 = 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 = 23133819195 and 23133819204.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 176593975 + ... + 176594105.

It is an arithmetic number, because the mean of its divisors is an integer number (121888800).

Almost surely, 2^23133819240 is an apocalyptic number.

23133819240 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 23133819240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46805299200).

23133819240 is an abundant number, since it is smaller than the sum of its proper divisors (70476779160).

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

23133819240 is a wasteful number, since it uses less digits than its factorization.

23133819240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 23133819240 in words is "twenty-three billion, one hundred thirty-three million, eight hundred nineteen thousand, two hundred forty".