816170065920 has 896 divisors, whose sum is σ = 3304322657280. Its totient is φ = 189191946240.

The previous prime is 816170065889. The next prime is 816170065979. The reversal of 816170065920 is 29560071618.

816170065920 is a `hidden beast` number, since 8 + 1 + 617 + 0 + 0 + 6 + 5 + 9 + 20 = 666.

It is a super-2 number, since 2×816170065920² (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279796302 + ... + 279799218.

Almost surely, 2^816170065920 is an apocalyptic number.

816170065920 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 816170065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652161328640).

816170065920 is an abundant number, since it is smaller than the sum of its proper divisors (2488152591360).

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

816170065920 is a wasteful number, since it uses less digits than its factorization.

816170065920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 816170065920 in words is "eight hundred sixteen billion, one hundred seventy million, sixty-five thousand, nine hundred twenty".