16169124960 has 192 divisors, whose sum is σ = 57001190400. Its totient is φ = 4280587776.

The previous prime is 16169124947. The next prime is 16169124967. The reversal of 16169124960 is 6942196161.

It is a happy number.

16169124960 is a `hidden beast` number, since 1 + 616 + 9 + 1 + 24 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×16169124960² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16169124967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587017 + ... + 613943.

It is an arithmetic number, because the mean of its divisors is an integer number (296881200).

Almost surely, 2^16169124960 is an apocalyptic number.

16169124960 is a gapful number since it is divisible by the number (10) 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 16169124960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28500595200).

16169124960 is an abundant number, since it is smaller than the sum of its proper divisors (40832065440).

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

16169124960 is a wasteful number, since it uses less digits than its factorization.

16169124960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27090 (or 27076 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 16169124960 in words is "sixteen billion, one hundred sixty-nine million, one hundred twenty-four thousand, nine hundred sixty".