16806078240 has 96 divisors (see below), whose sum is σ = 60501893760. Its totient is φ = 3841388544.

The previous prime is 16806078209. The next prime is 16806078257. The reversal of 16806078240 is 4287060861.

16806078240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 16806078192 and 16806078201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2497545 + ... + 2504264.

It is an arithmetic number, because the mean of its divisors is an integer number (630228060).

Almost surely, 2^16806078240 is an apocalyptic number.

16806078240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16806078240 is an abundant number, since it is smaller than the sum of its proper divisors (43695815520).

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

16806078240 is a wasteful number, since it uses less digits than its factorization.

16806078240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001834 (or 5001826 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 16806078240 in words is "sixteen billion, eight hundred six million, seventy-eight thousand, two hundred forty".