23557160680200 has 960 divisors, whose sum is σ = 98578138095360. Its totient is φ = 5097233940480.

The previous prime is 23557160680187. The next prime is 23557160680219. The reversal of 23557160680200 is 208606175532.

23557160680200 is a `hidden beast` number, since 2 + 3 + 557 + 16 + 0 + 6 + 80 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 252948844 + ... + 253041956.

It is an arithmetic number, because the mean of its divisors is an integer number (102685560516).

Almost surely, 2^{23557160680200} is an apocalyptic number.

23557160680200 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 23557160680200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49289069047680).

23557160680200 is an abundant number, since it is smaller than the sum of its proper divisors (75020977415160).

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

23557160680200 is a wasteful number, since it uses less digits than its factorization.

23557160680200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93268 (or 93250 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 23557160680200 in words is "twenty-three trillion, five hundred fifty-seven billion, one hundred sixty million, six hundred eighty thousand, two hundred".