16160409098640 has 1600 divisors, whose sum is σ = 63334908806400. Its totient is φ = 3799647387648.

The previous prime is 16160409098597. The next prime is 16160409098663. The reversal of 16160409098640 is 4689090406161.

It is a happy number.

16160409098640 is a `hidden beast` number, since 1 + 61 + 60 + 409 + 0 + 9 + 86 + 40 = 666.

It is a super-2 number, since 2×16160409098640² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 15644151564 + ... + 15644152596.

It is an arithmetic number, because the mean of its divisors is an integer number (39584318004).

Almost surely, 2^{16160409098640} is an apocalyptic number.

16160409098640 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 16160409098640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31667454403200).

16160409098640 is an abundant number, since it is smaller than the sum of its proper divisors (47174499707760).

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

16160409098640 is a wasteful number, since it uses less digits than its factorization.

16160409098640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 16160409098640 in words is "sixteen trillion, one hundred sixty billion, four hundred nine million, ninety-eight thousand, six hundred forty".