18125838720 has 384 divisors, whose sum is σ = 70570332000. Its totient is φ = 4393635840.

The previous prime is 18125838673. The next prime is 18125838727. The reversal of 18125838720 is 2783852181.

18125838720 is a `hidden beast` number, since 18 + 1 + 258 + 387 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18125838727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2086546 + ... + 2095214.

Almost surely, 2^18125838720 is an apocalyptic number.

18125838720 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 18125838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35285166000).

18125838720 is an abundant number, since it is smaller than the sum of its proper divisors (52444493280).

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

18125838720 is a wasteful number, since it uses less digits than its factorization.

18125838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8719 (or 8690 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 18125838720 in words is "eighteen billion, one hundred twenty-five million, eight hundred thirty-eight thousand, seven hundred twenty".