16956498960 has 80 divisors (see below), whose sum is σ = 58405726080. Its totient is φ = 4521732480.

The previous prime is 16956498917. The next prime is 16956498967. The reversal of 16956498960 is 6989465961.

16956498960 is a `hidden beast` number, since 1 + 6 + 9 + 56 + 498 + 96 + 0 = 666.

16956498960 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 (80).

It is not an unprimeable number, because it can be changed into a prime (16956498967) by changing a digit.

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, 3922956 + ... + 3927275.

It is an arithmetic number, because the mean of its divisors is an integer number (730071576).

Almost surely, 2^16956498960 is an apocalyptic number.

16956498960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16956498960 is an abundant number, since it is smaller than the sum of its proper divisors (41449227120).

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

16956498960 is a wasteful number, since it uses less digits than its factorization.

16956498960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7850253 (or 7850241 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 16956498960 in words is "sixteen billion, nine hundred fifty-six million, four hundred ninety-eight thousand, nine hundred sixty".