161260416000 has 704 divisors, whose sum is σ = 616949424000. Its totient is φ = 41494118400.

The previous prime is 161260415983. The next prime is 161260416001. The reversal of 161260416000 is 614062161.

161260416000 is a `hidden beast` number, since 1 + 6 + 12 + 6 + 0 + 41 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (161260416001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 100223196 + ... + 100224804.

Almost surely, 2^161260416000 is an apocalyptic number.

161260416000 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 161260416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308474712000).

161260416000 is an abundant number, since it is smaller than the sum of its proper divisors (455689008000).

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

161260416000 is a wasteful number, since it uses less digits than its factorization.

161260416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 161260416000 its reverse (614062161), we get a palindrome (161874478161).

The spelling of 161260416000 in words is "one hundred sixty-one billion, two hundred sixty million, four hundred sixteen thousand".