16921036028160 has 2592 divisors, whose sum is σ = 72137559312000. Its totient is φ = 3780335370240.

The previous prime is 16921036028131. The next prime is 16921036028179. The reversal of 16921036028160 is 6182063012961.

16921036028160 is a `hidden beast` number, since 1 + 6 + 9 + 2 + 1 + 0 + 360 + 281 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33909891591 + ... + 33909892089.

It is an arithmetic number, because the mean of its divisors is an integer number (27830848500).

Almost surely, 2^{16921036028160} is an apocalyptic number.

16921036028160 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 16921036028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36068779656000).

16921036028160 is an abundant number, since it is smaller than the sum of its proper divisors (55216523283840).

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

16921036028160 is a wasteful number, since it uses less digits than its factorization.

16921036028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 16921036028160 in words is "sixteen trillion, nine hundred twenty-one billion, thirty-six million, twenty-eight thousand, one hundred sixty".