816166920960 has 288 divisors, whose sum is σ = 3066629388480. Its totient is φ = 204841746432.

The previous prime is 816166920911. The next prime is 816166920979. The reversal of 816166920960 is 69029661618.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×816166920960³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 816166920897 and 816166920906.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107067 + ... + 1282106.

It is an arithmetic number, because the mean of its divisors is an integer number (10648018710).

Almost surely, 2^816166920960 is an apocalyptic number.

816166920960 is a gapful number since it is divisible by the number (80) 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 816166920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533314694240).

816166920960 is an abundant number, since it is smaller than the sum of its proper divisors (2250462467520).

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

816166920960 is a wasteful number, since it uses less digits than its factorization.

816166920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389220 (or 1389200 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 816166920960 in words is "eight hundred sixteen billion, one hundred sixty-six million, nine hundred twenty thousand, nine hundred sixty".