233500216320 has 880 divisors, whose sum is σ = 963102167808. Its totient is φ = 53210234880.

The previous prime is 233500216303. The next prime is 233500216351. The reversal of 233500216320 is 23612005332.

233500216320 is a `hidden beast` number, since 2 + 3 + 3 + 5 + 0 + 0 + 21 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 705438555 + ... + 705438885.

Almost surely, 2^233500216320 is an apocalyptic number.

233500216320 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 233500216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481551083904).

233500216320 is an abundant number, since it is smaller than the sum of its proper divisors (729601951488).

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

233500216320 is an frugal number, since it uses more digits than its factorization.

233500216320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 233500216320 in words is "two hundred thirty-three billion, five hundred million, two hundred sixteen thousand, three hundred twenty".