816828657120 has 1152 divisors, whose sum is σ = 3472639672320. Its totient is φ = 170749624320.

The previous prime is 816828657019. The next prime is 816828657167. The reversal of 816828657120 is 21756828618.

816828657120 is a `hidden beast` number, since 8 + 1 + 68 + 2 + 8 + 6 + 571 + 2 + 0 = 666.

816828657120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 639645922 + ... + 639647198.

It is an arithmetic number, because the mean of its divisors is an integer number (3014444160).

Almost surely, 2^816828657120 is an apocalyptic number.

816828657120 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 816828657120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736319836160).

816828657120 is an abundant number, since it is smaller than the sum of its proper divisors (2655811015200).

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

816828657120 is a wasteful number, since it uses less digits than its factorization.

816828657120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 816828657120 in words is "eight hundred sixteen billion, eight hundred twenty-eight million, six hundred fifty-seven thousand, one hundred twenty".