18053009624160 has 3072 divisors, whose sum is σ = 80114614272000. Its totient is φ = 3785415524352.

The previous prime is 18053009624101. The next prime is 18053009624189. The reversal of 18053009624160 is 6142690035081.

18053009624160 is a `hidden beast` number, since 1 + 8 + 0 + 5 + 3 + 0 + 0 + 9 + 624 + 16 + 0 = 666.

It is a super-2 number, since 2×18053009624160² (a number of 27 digits) contains 22 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 511 ways as a sum of consecutive naturals, for example, 142149682017 + ... + 142149682143.

It is an arithmetic number, because the mean of its divisors is an integer number (26078976000).

Almost surely, 2^{18053009624160} is an apocalyptic number.

18053009624160 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 18053009624160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40057307136000).

18053009624160 is an abundant number, since it is smaller than the sum of its proper divisors (62061604647840).

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

18053009624160 is a wasteful number, since it uses less digits than its factorization.

18053009624160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 18053009624160 in words is "eighteen trillion, fifty-three billion, nine million, six hundred twenty-four thousand, one hundred sixty".