16485591588480 has 1280 divisors, whose sum is σ = 69661581327360. Its totient is φ = 3637167390720.

The previous prime is 16485591588461. The next prime is 16485591588517. The reversal of 16485591588480 is 8488519558461.

16485591588480 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 5 + 5 + 91 + 58 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 16485591588399 and 16485591588408.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1245034660 + ... + 1245047900.

It is an arithmetic number, because the mean of its divisors is an integer number (54423110412).

Almost surely, 2^{16485591588480} is an apocalyptic number.

16485591588480 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 16485591588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34830790663680).

16485591588480 is an abundant number, since it is smaller than the sum of its proper divisors (53175989738880).

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

16485591588480 is a wasteful number, since it uses less digits than its factorization.

16485591588480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13399 (or 13378 counting only the distinct ones).

The product of its (nonzero) digits is 442368000, while the sum is 72.

The spelling of 16485591588480 in words is "sixteen trillion, four hundred eighty-five billion, five hundred ninety-one million, five hundred eighty-eight thousand, four hundred eighty".