16677503856 has 320 divisors, whose sum is σ = 52885504000. Its totient is φ = 5000776704.

The previous prime is 16677503851. The next prime is 16677503879. The reversal of 16677503856 is 65830577661.

16677503856 is a `hidden beast` number, since 1 + 66 + 77 + 503 + 8 + 5 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16677503851) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47786370 + ... + 47786718.

It is an arithmetic number, because the mean of its divisors is an integer number (165267200).

Almost surely, 2^16677503856 is an apocalyptic number.

16677503856 is a gapful number since it is divisible by the number (16) 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 16677503856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26442752000).

16677503856 is an abundant number, since it is smaller than the sum of its proper divisors (36208000144).

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

16677503856 is a wasteful number, since it uses less digits than its factorization.

16677503856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 16677503856 in words is "sixteen billion, six hundred seventy-seven million, five hundred three thousand, eight hundred fifty-six".