18852612469920 has 288 divisors, whose sum is σ = 67469062752000. Its totient is φ = 4784615903232.

The previous prime is 18852612469907. The next prime is 18852612469937. The reversal of 18852612469920 is 2996421625881.

18852612469920 is a `hidden beast` number, since 1 + 8 + 8 + 5 + 2 + 612 + 4 + 6 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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, 5160676 + ... + 8021084.

It is an arithmetic number, because the mean of its divisors is an integer number (234267579000).

Almost surely, 2^{18852612469920} is an apocalyptic number.

18852612469920 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 18852612469920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33734531376000).

18852612469920 is an abundant number, since it is smaller than the sum of its proper divisors (48616450282080).

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

18852612469920 is a wasteful number, since it uses less digits than its factorization.

18852612469920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2860652 (or 2860641 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 18852612469920 in words is "eighteen trillion, eight hundred fifty-two billion, six hundred twelve million, four hundred sixty-nine thousand, nine hundred twenty".