18135421920 has 432 divisors, whose sum is σ = 77747735520. Its totient is φ = 3768145920.

The previous prime is 18135421877. The next prime is 18135421979. The reversal of 18135421920 is 2912453181.

18135421920 is a `hidden beast` number, since 1 + 81 + 3 + 542 + 19 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1212246 + ... + 1227114.

It is an arithmetic number, because the mean of its divisors is an integer number (179971610).

Almost surely, 2^18135421920 is an apocalyptic number.

18135421920 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 18135421920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38873867760).

18135421920 is an abundant number, since it is smaller than the sum of its proper divisors (59612313600).

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

18135421920 is a wasteful number, since it uses less digits than its factorization.

18135421920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14919 (or 14897 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 18135421920 in words is "eighteen billion, one hundred thirty-five million, four hundred twenty-one thousand, nine hundred twenty".