18207879985152 has 576 divisors, whose sum is σ = 64069802858880. Its totient is φ = 5093093376000.

The previous prime is 18207879985133. The next prime is 18207879985181. The reversal of 18207879985152 is 25158997870281.

18207879985152 is a `hidden beast` number, since 1 + 8 + 20 + 7 + 87 + 9 + 9 + 8 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 71038027 + ... + 71293877.

It is an arithmetic number, because the mean of its divisors is an integer number (111232296630).

Almost surely, 2^{18207879985152} is an apocalyptic number.

18207879985152 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 18207879985152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32034901429440).

18207879985152 is an abundant number, since it is smaller than the sum of its proper divisors (45861922873728).

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

18207879985152 is a wasteful number, since it uses less digits than its factorization.

18207879985152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255912 (or 255880 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 72.

The spelling of 18207879985152 in words is "eighteen trillion, two hundred seven billion, eight hundred seventy-nine million, nine hundred eighty-five thousand, one hundred fifty-two".