816904552320 has 1024 divisors, whose sum is σ = 3169435392000. Its totient is φ = 198057000960.

The previous prime is 816904552301. The next prime is 816904552333. The reversal of 816904552320 is 23255409618.

816904552320 is a `hidden beast` number, since 8 + 1 + 6 + 90 + 4 + 552 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×816904552320² (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 127 ways as a sum of consecutive naturals, for example, 1105418511 + ... + 1105419249.

It is an arithmetic number, because the mean of its divisors is an integer number (3095151750).

Almost surely, 2^816904552320 is an apocalyptic number.

816904552320 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 816904552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584717696000).

816904552320 is an abundant number, since it is smaller than the sum of its proper divisors (2352530839680).

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

816904552320 is a wasteful number, since it uses less digits than its factorization.

816904552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 816904552320 in words is "eight hundred sixteen billion, nine hundred four million, five hundred fifty-two thousand, three hundred twenty".