232783225920 has 672 divisors, whose sum is σ = 986153333760. Its totient is φ = 51488317440.

The previous prime is 232783225919. The next prime is 232783225921. The reversal of 232783225920 is 29522387232.

232783225920 is a `hidden beast` number, since 2 + 3 + 27 + 8 + 32 + 2 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (232783225919) and next prime (232783225921).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (232783225921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13115292 + ... + 13133028.

It is an arithmetic number, because the mean of its divisors is an integer number (1467490080).

Almost surely, 2^232783225920 is an apocalyptic number.

232783225920 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 232783225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493076666880).

232783225920 is an abundant number, since it is smaller than the sum of its proper divisors (753370107840).

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

232783225920 is a wasteful number, since it uses less digits than its factorization.

232783225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17808 (or 17785 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 232783225920 in words is "two hundred thirty-two billion, seven hundred eighty-three million, two hundred twenty-five thousand, nine hundred twenty".