233205305520000 has 640 divisors, whose sum is σ = 844659576414720. Its totient is φ = 56519680000000.

The previous prime is 233205305519987. The next prime is 233205305520017. The reversal of 233205305520000 is 25503502332.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 233205305520000.

It is a congruent number.

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, 12542630704 + ... + 12542649296.

It is an arithmetic number, because the mean of its divisors is an integer number (1319780588148).

Almost surely, 2^{233205305520000} is an apocalyptic number.

233205305520000 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 233205305520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422329788207360).

233205305520000 is an abundant number, since it is smaller than the sum of its proper divisors (611454270894720).

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

233205305520000 is a wasteful number, since it uses less digits than its factorization.

233205305520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23392 (or 23365 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 30.

The spelling of 233205305520000 in words is "two hundred thirty-three trillion, two hundred five billion, three hundred five million, five hundred twenty thousand".