16558417920 has 384 divisors, whose sum is σ = 60854976000. Its totient is φ = 3801415680.

The previous prime is 16558417879. The next prime is 16558417921. The reversal of 16558417920 is 2971485561.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 16558417920.

It is not an unprimeable number, because it can be changed into a prime (16558417921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6419191 + ... + 6421769.

It is an arithmetic number, because the mean of its divisors is an integer number (158476500).

Almost surely, 2^16558417920 is an apocalyptic number.

16558417920 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 16558417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30427488000).

16558417920 is an abundant number, since it is smaller than the sum of its proper divisors (44296558080).

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

16558417920 is a wasteful number, since it uses less digits than its factorization.

16558417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 16558417920 in words is "sixteen billion, five hundred fifty-eight million, four hundred seventeen thousand, nine hundred twenty".