23350405120 has 288 divisors, whose sum is σ = 65795020200. Its totient is φ = 7929987072.

The previous prime is 23350405037. The next prime is 23350405159. The reversal of 23350405120 is 2150405332.

It can be written as a sum of positive squares in 4 ways, for example, as 18244445184 + 5105959936 = 135072^2 + 71456^2 .

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, 86804346 + ... + 86804614.

Almost surely, 2^23350405120 is an apocalyptic number.

23350405120 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 23350405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32897510100).

23350405120 is an abundant number, since it is smaller than the sum of its proper divisors (42444615080).

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

23350405120 is a wasteful number, since it uses less digits than its factorization.

23350405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The spelling of 23350405120 in words is "twenty-three billion, three hundred fifty million, four hundred five thousand, one hundred twenty".