18020075052672 has 1536 divisors, whose sum is σ = 70677774720000. Its totient is φ = 4463582699520.

The previous prime is 18020075052653. The next prime is 18020075052691. The reversal of 18020075052672 is 27625057002081.

18020075052672 is a `hidden beast` number, since 1 + 8 + 0 + 2 + 0 + 0 + 7 + 50 + 526 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (18020075052653) and next prime (18020075052691).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4483719079 + ... + 4483723097.

It is an arithmetic number, because the mean of its divisors is an integer number (46014176250).

Almost surely, 2^{18020075052672} is an apocalyptic number.

18020075052672 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 18020075052672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35338887360000).

18020075052672 is an abundant number, since it is smaller than the sum of its proper divisors (52657699667328).

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

18020075052672 is a wasteful number, since it uses less digits than its factorization.

18020075052672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4179 (or 4154 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 18020075052672 in words is "eighteen trillion, twenty billion, seventy-five million, fifty-two thousand, six hundred seventy-two".