16928654400 has 1344 divisors, whose sum is σ = 77555750400. Its totient is φ = 3503554560.

The previous prime is 16928654381. The next prime is 16928654411. The reversal of 16928654400 is 445682961.

16928654400 is a `hidden beast` number, since 16 + 92 + 8 + 6 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 190209556 + ... + 190209644.

Almost surely, 2^16928654400 is an apocalyptic number.

16928654400 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 16928654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38777875200).

16928654400 is an abundant number, since it is smaller than the sum of its proper divisors (60627096000).

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

16928654400 is a wasteful number, since it uses less digits than its factorization.

16928654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 16928654400 in words is "sixteen billion, nine hundred twenty-eight million, six hundred fifty-four thousand, four hundred".