16130532742506 has 384 divisors, whose sum is σ = 44647965573120. Its totient is φ = 4095552844800.

The previous prime is 16130532742477. The next prime is 16130532742543. The reversal of 16130532742506 is 60524723503161.

16130532742506 is a `hidden beast` number, since 1 + 6 + 1 + 30 + 53 + 27 + 42 + 506 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8021149041 + ... + 8021151051.

It is an arithmetic number, because the mean of its divisors is an integer number (116270743680).

Almost surely, 2^{16130532742506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16130532742506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22323982786560).

16130532742506 is an abundant number, since it is smaller than the sum of its proper divisors (28517432830614).

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

16130532742506 is a wasteful number, since it uses less digits than its factorization.

16130532742506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 16130532742506 in words is "sixteen trillion, one hundred thirty billion, five hundred thirty-two million, seven hundred forty-two thousand, five hundred six".