16677315777360 has 320 divisors, whose sum is σ = 59993334466560. Its totient is φ = 3753807390720.

The previous prime is 16677315777263. The next prime is 16677315777439. The reversal of 16677315777360 is 6377751377661.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 16677315777291 and 16677315777300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29569195 + ... + 30127925.

It is an arithmetic number, because the mean of its divisors is an integer number (187479170208).

Almost surely, 2^{16677315777360} is an apocalyptic number.

16677315777360 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 16677315777360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29996667233280).

16677315777360 is an abundant number, since it is smaller than the sum of its proper divisors (43316018689200).

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

16677315777360 is a wasteful number, since it uses less digits than its factorization.

16677315777360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559026 (or 559020 counting only the distinct ones).

The product of its (nonzero) digits is 163364040, while the sum is 66.

The spelling of 16677315777360 in words is "sixteen trillion, six hundred seventy-seven billion, three hundred fifteen million, seven hundred seventy-seven thousand, three hundred sixty".