16845001920 has 224 divisors, whose sum is σ = 59519759040. Its totient is φ = 4484874240.

The previous prime is 16845001919. The next prime is 16845002011. The reversal of 16845001920 is 2910054861.

16845001920 is a `hidden beast` number, since 1 + 68 + 4 + 500 + 1 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7610734 + ... + 7612946.

It is an arithmetic number, because the mean of its divisors is an integer number (265713210).

Almost surely, 2^16845001920 is an apocalyptic number.

16845001920 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 16845001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29759879520).

16845001920 is an abundant number, since it is smaller than the sum of its proper divisors (42674757120).

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

16845001920 is a wasteful number, since it uses less digits than its factorization.

16845001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 16845001920 in words is "sixteen billion, eight hundred forty-five million, one thousand, nine hundred twenty".