18127648000 has 432 divisors, whose sum is σ = 57361082688. Its totient is φ = 5644800000.

The previous prime is 18127647991. The next prime is 18127648013. The reversal of 18127648000 is 84672181.

It is a super-2 number, since 2×18127648000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17247475 + ... + 17248525.

It is an arithmetic number, because the mean of its divisors is an integer number (132780284).

Almost surely, 2^18127648000 is an apocalyptic number.

18127648000 is a gapful number since it is divisible by the number (10) 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 18127648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28680541344).

18127648000 is an abundant number, since it is smaller than the sum of its proper divisors (39233434688).

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

18127648000 is a wasteful number, since it uses less digits than its factorization.

18127648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The spelling of 18127648000 in words is "eighteen billion, one hundred twenty-seven million, six hundred forty-eight thousand".