16482160800 has 576 divisors, whose sum is σ = 69185571840. Its totient is φ = 3708840960.

The previous prime is 16482160789. The next prime is 16482160823. The reversal of 16482160800 is 806128461.

16482160800 is a `hidden beast` number, since 1 + 6 + 48 + 2 + 1 + 608 + 0 + 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 95 ways as a sum of consecutive naturals, for example, 10129587 + ... + 10131213.

It is an arithmetic number, because the mean of its divisors is an integer number (120113840).

Almost surely, 2^16482160800 is an apocalyptic number.

16482160800 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 16482160800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34592785920).

16482160800 is an abundant number, since it is smaller than the sum of its proper divisors (52703411040).

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

16482160800 is a wasteful number, since it uses less digits than its factorization.

16482160800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 16482160800 in words is "sixteen billion, four hundred eighty-two million, one hundred sixty thousand, eight hundred".