16447135760 has 160 divisors (see below), whose sum is σ = 42244260480. Its totient is φ = 5905612800.

The previous prime is 16447135751. The next prime is 16447135763. The reversal of 16447135760 is 6753174461.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (16447135763) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 30401090 + ... + 30401630.

It is an arithmetic number, because the mean of its divisors is an integer number (264026628).

Almost surely, 2^16447135760 is an apocalyptic number.

16447135760 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 16447135760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21122130240).

16447135760 is an abundant number, since it is smaller than the sum of its proper divisors (25797124720).

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

16447135760 is a wasteful number, since it uses less digits than its factorization.

16447135760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 16447135760 in words is "sixteen billion, four hundred forty-seven million, one hundred thirty-five thousand, seven hundred sixty".