16582164480000 has 3240 divisors, whose sum is σ = 76460660187912. Its totient is φ = 3567255552000.

The previous prime is 16582164479963. The next prime is 16582164480029. The reversal of 16582164480000 is 8446128561.

It is a happy number.

16582164480000 is a `hidden beast` number, since 1 + 6 + 5 + 8 + 2 + 164 + 480 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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 179 ways as a sum of consecutive naturals, for example, 975421439992 + ... + 975421440008.

Almost surely, 2^{16582164480000} is an apocalyptic number.

16582164480000 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 16582164480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38230330093956).

16582164480000 is an abundant number, since it is smaller than the sum of its proper divisors (59878495707912).

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

16582164480000 is an frugal number, since it uses more digits than its factorization.

16582164480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 16582164480000 in words is "sixteen trillion, five hundred eighty-two billion, one hundred sixty-four million, four hundred eighty thousand".