233953069045920 has 768 divisors, whose sum is σ = 895044971520000. Its totient is φ = 50223041003520.

The previous prime is 233953069045909. The next prime is 233953069045979. The reversal of 233953069045920 is 29540960359332.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25997669581 + ... + 25997678579.

It is an arithmetic number, because the mean of its divisors is an integer number (1165423140000).

Almost surely, 2^{233953069045920} is an apocalyptic number.

233953069045920 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 233953069045920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447522485760000).

233953069045920 is an abundant number, since it is smaller than the sum of its proper divisors (661091902474080).

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

233953069045920 is a wasteful number, since it uses less digits than its factorization.

233953069045920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16301 (or 16293 counting only the distinct ones).

The product of its (nonzero) digits is 47239200, while the sum is 60.

The spelling of 233953069045920 in words is "two hundred thirty-three trillion, nine hundred fifty-three billion, sixty-nine million, forty-five thousand, nine hundred twenty".