16541238173130 has 192 divisors, whose sum is σ = 47093401555200. Its totient is φ = 3994941864960.

The previous prime is 16541238173107. The next prime is 16541238173137. The reversal of 16541238173130 is 3137183214561.

16541238173130 is a `hidden beast` number, since 1 + 6 + 5 + 412 + 38 + 1 + 73 + 130 = 666.

It is a super-2 number, since 2×16541238173130² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (16541238173137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 330014211 + ... + 330064329.

It is an arithmetic number, because the mean of its divisors is an integer number (245278133100).

Almost surely, 2^{16541238173130} is an apocalyptic number.

16541238173130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16541238173130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23546700777600).

16541238173130 is an abundant number, since it is smaller than the sum of its proper divisors (30552163382070).

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

16541238173130 is a wasteful number, since it uses less digits than its factorization.

16541238173130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51389 (or 51386 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 16541238173130 in words is "sixteen trillion, five hundred forty-one billion, two hundred thirty-eight million, one hundred seventy-three thousand, one hundred thirty".