16408872480 has 1152 divisors, whose sum is σ = 72675864576. Its totient is φ = 3019161600.

The previous prime is 16408872479. The next prime is 16408872503. The reversal of 16408872480 is 8427880461.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 231110845 + ... + 231110915.

It is an arithmetic number, because the mean of its divisors is an integer number (63086688).

Almost surely, 2^16408872480 is an apocalyptic number.

16408872480 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 16408872480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36337932288).

16408872480 is an abundant number, since it is smaller than the sum of its proper divisors (56266992096).

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

16408872480 is a wasteful number, since it uses less digits than its factorization.

16408872480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

It can be divided in two parts, 16408 and 872480, that added together give a palindrome (888888).

The spelling of 16408872480 in words is "sixteen billion, four hundred eight million, eight hundred seventy-two thousand, four hundred eighty".