16416731904660 has 384 divisors, whose sum is σ = 52052624870400. Its totient is φ = 4294641254400.

The previous prime is 16416731904653. The next prime is 16416731904691. The reversal of 16416731904660 is 6640913761461.

16416731904660 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 67 + 31 + 90 + 466 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16416731904597 and 16416731904606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10254047860 + ... + 10254049460.

It is an arithmetic number, because the mean of its divisors is an integer number (135553710600).

Almost surely, 2^{16416731904660} is an apocalyptic number.

16416731904660 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 16416731904660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26026312435200).

16416731904660 is an abundant number, since it is smaller than the sum of its proper divisors (35635892965740).

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

16416731904660 is a wasteful number, since it uses less digits than its factorization.

16416731904660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2928 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 16416731904660 in words is "sixteen trillion, four hundred sixteen billion, seven hundred thirty-one million, nine hundred four thousand, six hundred sixty".