16006153087008 has 192 divisors, whose sum is σ = 53357230080000. Its totient is φ = 4572896332032.

The previous prime is 16006153087003. The next prime is 16006153087009. The reversal of 16006153087008 is 80078035160061.

16006153087008 is a `hidden beast` number, since 1 + 600 + 6 + 1 + 5 + 30 + 8 + 7 + 0 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (16006153087003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106363563 + ... + 106513941.

It is an arithmetic number, because the mean of its divisors is an integer number (277902240000).

Almost surely, 2^{16006153087008} is an apocalyptic number.

16006153087008 is a gapful number since it is divisible by the number (18) 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 16006153087008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26678615040000).

16006153087008 is an abundant number, since it is smaller than the sum of its proper divisors (37351076992992).

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

16006153087008 is a wasteful number, since it uses less digits than its factorization.

16006153087008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168004 (or 167990 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 16006153087008 in words is "sixteen trillion, six billion, one hundred fifty-three million, eighty-seven thousand, eight".