235200079920 has 160 divisors (see below), whose sum is σ = 786999628800. Its totient is φ = 57763187712.

The previous prime is 235200079909. The next prime is 235200079951. The reversal of 235200079920 is 29970002532.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1283821 + ... + 1455539.

It is an arithmetic number, because the mean of its divisors is an integer number (4918747680).

Almost surely, 2^235200079920 is an apocalyptic number.

235200079920 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 235200079920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393499814400).

235200079920 is an abundant number, since it is smaller than the sum of its proper divisors (551799548880).

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

235200079920 is a wasteful number, since it uses less digits than its factorization.

235200079920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172187 (or 172181 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The spelling of 235200079920 in words is "two hundred thirty-five billion, two hundred million, seventy-nine thousand, nine hundred twenty".