16482771064900 has 288 divisors, whose sum is σ = 42493800222720. Its totient is φ = 5432228997120.

The previous prime is 16482771064897. The next prime is 16482771064933. The reversal of 16482771064900 is 946017728461.

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, 2517603427 + ... + 2517609973.

It is an arithmetic number, because the mean of its divisors is an integer number (147547917440).

Almost surely, 2^{16482771064900} is an apocalyptic number.

16482771064900 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 16482771064900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21246900111360).

16482771064900 is an abundant number, since it is smaller than the sum of its proper divisors (26011029157820).

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

16482771064900 is a wasteful number, since it uses less digits than its factorization.

16482771064900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7971 (or 7964 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 55.

The spelling of 16482771064900 in words is "sixteen trillion, four hundred eighty-two billion, seven hundred seventy-one million, sixty-four thousand, nine hundred".