816320155560 has 512 divisors, whose sum is σ = 3245540659200. Its totient is φ = 159353487360.

The previous prime is 816320155513. The next prime is 816320155561. The reversal of 816320155560 is 65551023618.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (816320155561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10915495 + ... + 10990025.

It is an arithmetic number, because the mean of its divisors is an integer number (6338946600).

Almost surely, 2^816320155560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816320155560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622770329600).

816320155560 is an abundant number, since it is smaller than the sum of its proper divisors (2429220503640).

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

816320155560 is a wasteful number, since it uses less digits than its factorization.

816320155560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74641 (or 74637 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 816320155560 in words is "eight hundred sixteen billion, three hundred twenty million, one hundred fifty-five thousand, five hundred sixty".