233013957120 has 2400 divisors, whose sum is σ = 1097291733120. Its totient is φ = 46820229120.

The previous prime is 233013957097. The next prime is 233013957151. The reversal of 233013957120 is 21759310332.

It is a happy number.

233013957120 is a `hidden beast` number, since 2 + 3 + 30 + 1 + 39 + 571 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3281886685 + ... + 3281886755.

Almost surely, 2^233013957120 is an apocalyptic number.

233013957120 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 233013957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548645866560).

233013957120 is an abundant number, since it is smaller than the sum of its proper divisors (864277776000).

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

233013957120 is a wasteful number, since it uses less digits than its factorization.

233013957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 233013957120 in words is "two hundred thirty-three billion, thirteen million, nine hundred fifty-seven thousand, one hundred twenty".