16209932025168 has 320 divisors, whose sum is σ = 54920647710720. Its totient is φ = 4481420525568.

The previous prime is 16209932025151. The next prime is 16209932025193. The reversal of 16209932025168 is 86152023990261.

16209932025168 is a `hidden beast` number, since 1 + 6 + 2 + 0 + 9 + 9 + 320 + 251 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13330896 + ... + 14495952.

It is an arithmetic number, because the mean of its divisors is an integer number (171627024096).

Almost surely, 2^{16209932025168} is an apocalyptic number.

16209932025168 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 16209932025168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27460323855360).

16209932025168 is an abundant number, since it is smaller than the sum of its proper divisors (38710715685552).

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

16209932025168 is a wasteful number, since it uses less digits than its factorization.

16209932025168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165231 (or 1165219 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 16209932025168 in words is "sixteen trillion, two hundred nine billion, nine hundred thirty-two million, twenty-five thousand, one hundred sixty-eight".