18105075072 has 768 divisors, whose sum is σ = 69488928000. Its totient is φ = 4598415360.

The previous prime is 18105075029. The next prime is 18105075101. The reversal of 18105075072 is 27057050181.

18105075072 is a `hidden beast` number, since 1 + 81 + 0 + 507 + 5 + 0 + 72 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54697947 + ... + 54698277.

It is an arithmetic number, because the mean of its divisors is an integer number (90480375).

Almost surely, 2^18105075072 is an apocalyptic number.

18105075072 is a gapful number since it is divisible by the number (12) 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 18105075072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34744464000).

18105075072 is an abundant number, since it is smaller than the sum of its proper divisors (51383852928).

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

18105075072 is a wasteful number, since it uses less digits than its factorization.

18105075072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The spelling of 18105075072 in words is "eighteen billion, one hundred five million, seventy-five thousand, seventy-two".