16106731680 has 384 divisors, whose sum is σ = 58333927680. Its totient is φ = 3702620160.

The previous prime is 16106731679. The next prime is 16106731687. The reversal of 16106731680 is 8613760161.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (16106731687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8653950 + ... + 8655810.

It is an arithmetic number, because the mean of its divisors is an integer number (151911270).

Almost surely, 2^16106731680 is an apocalyptic number.

16106731680 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 16106731680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29166963840).

16106731680 is an abundant number, since it is smaller than the sum of its proper divisors (42227196000).

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

16106731680 is a wasteful number, since it uses less digits than its factorization.

16106731680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 16106731680 in words is "sixteen billion, one hundred six million, seven hundred thirty-one thousand, six hundred eighty".