23863813303680 has 1536 divisors, whose sum is σ = 101877025536000. Its totient is φ = 5026783297536.

The previous prime is 23863813303667. The next prime is 23863813303723. The reversal of 23863813303680 is 8630331836832.

23863813303680 is a `hidden beast` number, since 238 + 6 + 3 + 8 + 13 + 30 + 368 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23101464444 + ... + 23101465476.

It is an arithmetic number, because the mean of its divisors is an integer number (66326188500).

Almost surely, 2^{23863813303680} is an apocalyptic number.

23863813303680 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 23863813303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50938512768000).

23863813303680 is an abundant number, since it is smaller than the sum of its proper divisors (78013212232320).

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

23863813303680 is a wasteful number, since it uses less digits than its factorization.

23863813303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 23863813303680 in words is "twenty-three trillion, eight hundred sixty-three billion, eight hundred thirteen million, three hundred three thousand, six hundred eighty".