23983583984640 has 2816 divisors, whose sum is σ = 107203112755200. Its totient is φ = 5022186209280.

The previous prime is 23983583984579. The next prime is 23983583984653. The reversal of 23983583984640 is 4648938538932.

It is a happy number.

23983583984640 is a `hidden beast` number, since 2 + 3 + 9 + 83 + 5 + 83 + 9 + 8 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 54632309541 + ... + 54632309979.

It is an arithmetic number, because the mean of its divisors is an integer number (38069287200).

Almost surely, 2^{23983583984640} is an apocalyptic number.

23983583984640 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 23983583984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53601556377600).

23983583984640 is an abundant number, since it is smaller than the sum of its proper divisors (83219528770560).

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

23983583984640 is an equidigital number, since it uses as much as digits as its factorization.

23983583984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 72.

The spelling of 23983583984640 in words is "twenty-three trillion, nine hundred eighty-three billion, five hundred eighty-three million, nine hundred eighty-four thousand, six hundred forty".