23845386700800 has 1152 divisors, whose sum is σ = 100894342348800. Its totient is φ = 5407179079680.

The previous prime is 23845386700789. The next prime is 23845386700813. The reversal of 23845386700800 is 800768354832.

23845386700800 is a `hidden beast` number, since 2 + 38 + 4 + 538 + 6 + 70 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1228943899 + ... + 1228963301.

It is an arithmetic number, because the mean of its divisors is an integer number (87581894400).

Almost surely, 2^{23845386700800} is an apocalyptic number.

23845386700800 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 23845386700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50447171174400).

23845386700800 is an abundant number, since it is smaller than the sum of its proper divisors (77048955648000).

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

23845386700800 is a wasteful number, since it uses less digits than its factorization.

23845386700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19578 (or 19547 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 23845386700800 in words is "twenty-three trillion, eight hundred forty-five billion, three hundred eighty-six million, seven hundred thousand, eight hundred".