16106119680 has 480 divisors, whose sum is σ = 60546410496. Its totient is φ = 3641573376.

The previous prime is 16106119669. The next prime is 16106119699. The reversal of 16106119680 is 8691160161.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×16106119680² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47792472 + ... + 47792808.

Almost surely, 2^16106119680 is an apocalyptic number.

16106119680 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 16106119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30273205248).

16106119680 is an abundant number, since it is smaller than the sum of its proper divisors (44440290816).

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

16106119680 is a wasteful number, since it uses less digits than its factorization.

16106119680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

The spelling of 16106119680 in words is "sixteen billion, one hundred six million, one hundred nineteen thousand, six hundred eighty".