18129825360 has 240 divisors, whose sum is σ = 62716343040. Its totient is φ = 4690068480.

The previous prime is 18129825319. The next prime is 18129825379. The reversal of 18129825360 is 6352892181.

18129825360 is a `hidden beast` number, since 18 + 1 + 29 + 82 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×18129825360³ (a number of 32 digits) contains 333 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 47 ways as a sum of consecutive naturals, for example, 11481051 + ... + 11482629.

It is an arithmetic number, because the mean of its divisors is an integer number (261318096).

Almost surely, 2^18129825360 is an apocalyptic number.

18129825360 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 18129825360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31358171520).

18129825360 is an abundant number, since it is smaller than the sum of its proper divisors (44586517680).

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

18129825360 is a wasteful number, since it uses less digits than its factorization.

18129825360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 18129825360 in words is "eighteen billion, one hundred twenty-nine million, eight hundred twenty-five thousand, three hundred sixty".