233056252080 has 400 divisors, whose sum is σ = 818723268000. Its totient is φ = 61439938560.

The previous prime is 233056252043. The next prime is 233056252087. The reversal of 233056252080 is 80252650332.

233056252080 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 5 + 625 + 20 + 8 + 0 = 666.

It is a Cunningham number, because it is equal to 482759²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (233056252087) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 271310691 + ... + 271311549.

It is an arithmetic number, because the mean of its divisors is an integer number (2046808170).

Almost surely, 2^233056252080 is an apocalyptic number.

233056252080 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 233056252080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409361634000).

233056252080 is an abundant number, since it is smaller than the sum of its proper divisors (585667015920).

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

233056252080 is a wasteful number, since it uses less digits than its factorization.

233056252080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 233056252080 in words is "two hundred thirty-three billion, fifty-six million, two hundred fifty-two thousand, eighty".