23878681200 has 720 divisors, whose sum is σ = 96425971200. Its totient is φ = 5565772800.

The previous prime is 23878681199. The next prime is 23878681201. The reversal of 23878681200 is 218687832.

23878681200 is a `hidden beast` number, since 2 + 387 + 8 + 68 + 1 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (23878681199) and next prime (23878681201).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23878681201) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 99910681 + ... + 99910919.

It is an arithmetic number, because the mean of its divisors is an integer number (133924960).

Almost surely, 2^23878681200 is an apocalyptic number.

23878681200 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 23878681200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48212985600).

23878681200 is an abundant number, since it is smaller than the sum of its proper divisors (72547290000).

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

23878681200 is a wasteful number, since it uses less digits than its factorization.

23878681200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

It can be divided in two parts, 23878 and 681200, that added together give a triangular number (705078 = T₁₁₈₇).

The spelling of 23878681200 in words is "twenty-three billion, eight hundred seventy-eight million, six hundred eighty-one thousand, two hundred".