16006446540 has 72 divisors (see below), whose sum is σ = 55489019040. Its totient is φ = 3658616064.

The previous prime is 16006446527. The next prime is 16006446541. The reversal of 16006446540 is 4564460061.

16006446540 is a `hidden beast` number, since 1 + 6 + 0 + 0 + 644 + 6 + 5 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 16006446495 and 16006446504.

It is not an unprimeable number, because it can be changed into a prime (16006446541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6350505 + ... + 6353024.

It is an arithmetic number, because the mean of its divisors is an integer number (770680820).

Almost surely, 2^16006446540 is an apocalyptic number.

16006446540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16006446540 is an abundant number, since it is smaller than the sum of its proper divisors (39482572500).

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

16006446540 is a wasteful number, since it uses less digits than its factorization.

16006446540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12703551 (or 12703546 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 16006446540 in words is "sixteen billion, six million, four hundred forty-six thousand, five hundred forty".