23187161088000 has 2304 divisors, whose sum is σ = 106699866174720. Its totient is φ = 4892236185600.

The previous prime is 23187161087977. The next prime is 23187161088089. The reversal of 23187161088000 is 88016178132.

It is a happy number.

23187161088000 is a `hidden beast` number, since 23 + 1 + 8 + 7 + 1 + 610 + 8 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×23187161088000² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

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, 1783627775994 + ... + 1783627776006.

It is an arithmetic number, because the mean of its divisors is an integer number (46310705805).

Almost surely, 2^{23187161088000} is an apocalyptic number.

23187161088000 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 23187161088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53349933087360).

23187161088000 is an abundant number, since it is smaller than the sum of its proper divisors (83512705086720).

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

23187161088000 is an frugal number, since it uses more digits than its factorization.

23187161088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 23187161088000 in words is "twenty-three trillion, one hundred eighty-seven billion, one hundred sixty-one million, eighty-eight thousand".