16852858429932 has 576 divisors, whose sum is σ = 52148468736000. Its totient is φ = 4487508393984.

The previous prime is 16852858429921. The next prime is 16852858429951. The reversal of 16852858429932 is 23992485825861.

It is a happy number.

16852858429932 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 2 + 8 + 584 + 2 + 9 + 9 + 32 = 666.

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, 11960864044 + ... + 11960865452.

It is an arithmetic number, because the mean of its divisors is an integer number (90535536000).

Almost surely, 2^{16852858429932} is an apocalyptic number.

16852858429932 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 16852858429932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26074234368000).

16852858429932 is an abundant number, since it is smaller than the sum of its proper divisors (35295610306068).

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

16852858429932 is a wasteful number, since it uses less digits than its factorization.

16852858429932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1953 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 72.

The spelling of 16852858429932 in words is "sixteen trillion, eight hundred fifty-two billion, eight hundred fifty-eight million, four hundred twenty-nine thousand, nine hundred thirty-two".