18124128000 has 576 divisors, whose sum is σ = 73007101440. Its totient is φ = 4391424000.

The previous prime is 18124127993. The next prime is 18124128013. The reversal of 18124128000 is 82142181.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9503047 + ... + 9504953.

It is an arithmetic number, because the mean of its divisors is an integer number (126748440).

Almost surely, 2^18124128000 is an apocalyptic number.

18124128000 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 18124128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36503550720).

18124128000 is an abundant number, since it is smaller than the sum of its proper divisors (54882973440).

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

18124128000 is a wasteful number, since it uses less digits than its factorization.

18124128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 18124128000 in words is "eighteen billion, one hundred twenty-four million, one hundred twenty-eight thousand".