16406011872 has 72 divisors (see below), whose sum is σ = 48683076624. Its totient is φ = 5230900224.

The previous prime is 16406011717. The next prime is 16406011873. The reversal of 16406011872 is 27811060461.

It is a happy number.

16406011872 is a `hidden beast` number, since 1 + 6 + 40 + 601 + 1 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (16406011873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1231753 + ... + 1245000.

It is an arithmetic number, because the mean of its divisors is an integer number (676153842).

Almost surely, 2^16406011872 is an apocalyptic number.

16406011872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16406011872 is an abundant number, since it is smaller than the sum of its proper divisors (32277064752).

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

16406011872 is a wasteful number, since it uses less digits than its factorization.

16406011872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476792 (or 2476781 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 16406011872 in words is "sixteen billion, four hundred six million, eleven thousand, eight hundred seventy-two".