23680171200 has 672 divisors, whose sum is σ = 95495872000. Its totient is φ = 5120962560.

The previous prime is 23680171153. The next prime is 23680171201. The reversal of 23680171200 is 217108632.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×23680171200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (23680171201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31281222 + ... + 31281978.

Almost surely, 2^23680171200 is an apocalyptic number.

23680171200 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 23680171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47747936000).

23680171200 is an abundant number, since it is smaller than the sum of its proper divisors (71815700800).

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

23680171200 is a wasteful number, since it uses less digits than its factorization.

23680171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

Adding to 23680171200 its reverse (217108632), we get a palindrome (23897279832).

The spelling of 23680171200 in words is "twenty-three billion, six hundred eighty million, one hundred seventy-one thousand, two hundred".