16812956160 has 1440 divisors, whose sum is σ = 81183053952. Its totient is φ = 3224862720.

The previous prime is 16812956159. The next prime is 16812956197. The reversal of 16812956160 is 6165921861.

16812956160 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 29 + 5 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1293304314 + ... + 1293304326.

Almost surely, 2^16812956160 is an apocalyptic number.

16812956160 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 16812956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40591526976).

16812956160 is an abundant number, since it is smaller than the sum of its proper divisors (64370097792).

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

16812956160 is an frugal number, since it uses more digits than its factorization.

16812956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 16812956160 in words is "sixteen billion, eight hundred twelve million, nine hundred fifty-six thousand, one hundred sixty".