23783977728000 has 3072 divisors, whose sum is σ = 105423084748800. Its totient is φ = 5175705600000.

The previous prime is 23783977727999. The next prime is 23783977728011. The reversal of 23783977728000 is 82777938732.

23783977728000 is a `hidden beast` number, since 237 + 8 + 397 + 7 + 7 + 2 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 151490303922 + ... + 151490304078.

It is an arithmetic number, because the mean of its divisors is an integer number (34317410400).

Almost surely, 2^{23783977728000} is an apocalyptic number.

23783977728000 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 23783977728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52711542374400).

23783977728000 is an abundant number, since it is smaller than the sum of its proper divisors (81639107020800).

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

23783977728000 is a wasteful number, since it uses less digits than its factorization.

23783977728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 23783977728000 in words is "twenty-three trillion, seven hundred eighty-three billion, nine hundred seventy-seven million, seven hundred twenty-eight thousand".