23430783841920 has 3840 divisors, whose sum is σ = 109223690526720. Its totient is φ = 4740548198400.

The previous prime is 23430783841891. The next prime is 23430783841921. The reversal of 23430783841920 is 2914838703432.

It is a happy number.

23430783841920 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 0 + 78 + 384 + 192 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (23430783841921) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 155170753845 + ... + 155170753995.

It is an arithmetic number, because the mean of its divisors is an integer number (28443669408).

Almost surely, 2^{23430783841920} is an apocalyptic number.

23430783841920 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 23430783841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54611845263360).

23430783841920 is an abundant number, since it is smaller than the sum of its proper divisors (85792906684800).

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

23430783841920 is a wasteful number, since it uses less digits than its factorization.

23430783841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 23430783841920 in words is "twenty-three trillion, four hundred thirty billion, seven hundred eighty-three million, eight hundred forty-one thousand, nine hundred twenty".