16106852160 has 448 divisors, whose sum is σ = 67768012800. Its totient is φ = 3521193984.

The previous prime is 16106852129. The next prime is 16106852161. The reversal of 16106852160 is 6125860161.

16106852160 is a `hidden beast` number, since 1 + 6 + 10 + 68 + 521 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16106852161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1385251 + ... + 1396829.

Almost surely, 2^16106852160 is an apocalyptic number.

16106852160 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 16106852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33884006400).

16106852160 is an abundant number, since it is smaller than the sum of its proper divisors (51661160640).

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

16106852160 is a wasteful number, since it uses less digits than its factorization.

16106852160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11635 (or 11619 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 16106852160 in words is "sixteen billion, one hundred six million, eight hundred fifty-two thousand, one hundred sixty".