16955073828 has 288 divisors, whose sum is σ = 56800493568. Its totient is φ = 4128537600.

The previous prime is 16955073791. The next prime is 16955073859. The reversal of 16955073828 is 82837055961.

16955073828 is a `hidden beast` number, since 1 + 6 + 9 + 550 + 7 + 3 + 82 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15597501 + ... + 15598587.

It is an arithmetic number, because the mean of its divisors is an integer number (197223936).

Almost surely, 2^16955073828 is an apocalyptic number.

16955073828 is a gapful number since it is divisible by the number (18) 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 16955073828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28400246784).

16955073828 is an abundant number, since it is smaller than the sum of its proper divisors (39845419740).

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

16955073828 is a wasteful number, since it uses less digits than its factorization.

16955073828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 16955073828 in words is "sixteen billion, nine hundred fifty-five million, seventy-three thousand, eight hundred twenty-eight".