16730113559040 has 1600 divisors, whose sum is σ = 70885473753600. Its totient is φ = 3769028444160.

The previous prime is 16730113559011. The next prime is 16730113559057. The reversal of 16730113559040 is 4095531103761.

16730113559040 is a `hidden beast` number, since 1 + 6 + 7 + 3 + 0 + 1 + 13 + 5 + 590 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 5049836424 + ... + 5049839736.

It is an arithmetic number, because the mean of its divisors is an integer number (44303421096).

Almost surely, 2^{16730113559040} is an apocalyptic number.

16730113559040 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 16730113559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35442736876800).

16730113559040 is an abundant number, since it is smaller than the sum of its proper divisors (54155360194560).

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

16730113559040 is an frugal number, since it uses more digits than its factorization.

16730113559040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 16730113559040 in words is "sixteen trillion, seven hundred thirty billion, one hundred thirteen million, five hundred fifty-nine thousand, forty".