16612441735680 has 4480 divisors, whose sum is σ = 79140626104320. Its totient is φ = 3250661621760.

The previous prime is 16612441735679. The next prime is 16612441735723. The reversal of 16612441735680 is 8653714421661.

16612441735680 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 2 + 4 + 4 + 1 + 73 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 130806627777 + ... + 130806627903.

Almost surely, 2^{16612441735680} is an apocalyptic number.

16612441735680 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 16612441735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39570313052160).

16612441735680 is an abundant number, since it is smaller than the sum of its proper divisors (62528184368640).

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

16612441735680 is a wasteful number, since it uses less digits than its factorization.

16612441735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 16612441735680 in words is "sixteen trillion, six hundred twelve billion, four hundred forty-one million, seven hundred thirty-five thousand, six hundred eighty".