16408956960 has 288 divisors, whose sum is σ = 61329078720. Its totient is φ = 3962112000.

The previous prime is 16408956943. The next prime is 16408956961. The reversal of 16408956960 is 6965980461.

It is a happy number.

16408956960 is a `hidden beast` number, since 16 + 4 + 0 + 8 + 9 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 16408956897 and 16408956906.

It is not an unprimeable number, because it can be changed into a prime (16408956961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4259035 + ... + 4262885.

It is an arithmetic number, because the mean of its divisors is an integer number (212948190).

Almost surely, 2^16408956960 is an apocalyptic number.

16408956960 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 16408956960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30664539360).

16408956960 is an abundant number, since it is smaller than the sum of its proper divisors (44920121760).

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

16408956960 is a wasteful number, since it uses less digits than its factorization.

16408956960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 16408956960 in words is "sixteen billion, four hundred eight million, nine hundred fifty-six thousand, nine hundred sixty".