18885175205952 has 896 divisors, whose sum is σ = 58272157532160. Its totient is φ = 5345657856000.

The previous prime is 18885175205899. The next prime is 18885175205969. The reversal of 18885175205952 is 25950257158881.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60724035877 + ... + 60724036187.

Almost surely, 2^{18885175205952} is an apocalyptic number.

18885175205952 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 18885175205952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29136078766080).

18885175205952 is an abundant number, since it is smaller than the sum of its proper divisors (39386982326208).

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

18885175205952 is a wasteful number, since it uses less digits than its factorization.

18885175205952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 80640000, while the sum is 66.

The spelling of 18885175205952 in words is "eighteen trillion, eight hundred eighty-five billion, one hundred seventy-five million, two hundred five thousand, nine hundred fifty-two".