16266972540168 has 288 divisors, whose sum is σ = 53367632136000. Its totient is φ = 4457718316800.

The previous prime is 16266972540149. The next prime is 16266972540209. The reversal of 16266972540168 is 86104527966261.

16266972540168 is a `hidden beast` number, since 1 + 6 + 2 + 6 + 6 + 9 + 72 + 540 + 16 + 8 = 666.

It is a super-2 number, since 2×16266972540168² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14922643 + ... + 15975581.

It is an arithmetic number, because the mean of its divisors is an integer number (185304278250).

Almost surely, 2^{16266972540168} is an apocalyptic number.

16266972540168 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 16266972540168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26683816068000).

16266972540168 is an abundant number, since it is smaller than the sum of its proper divisors (37100659595832).

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

16266972540168 is a wasteful number, since it uses less digits than its factorization.

16266972540168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053145 (or 1053131 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 16266972540168 in words is "sixteen trillion, two hundred sixty-six billion, nine hundred seventy-two million, five hundred forty thousand, one hundred sixty-eight".