823123059360 has 384 divisors, whose sum is σ = 2994897991680. Its totient is φ = 186143256576.

The previous prime is 823123059349. The next prime is 823123059371. The reversal of 823123059360 is 63950321328.

It is an interprime number because it is at equal distance from previous prime (823123059349) and next prime (823123059371).

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

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, 125415439 + ... + 125422001.

It is an arithmetic number, because the mean of its divisors is an integer number (7799213520).

Almost surely, 2^823123059360 is an apocalyptic number.

823123059360 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 823123059360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497448995840).

823123059360 is an abundant number, since it is smaller than the sum of its proper divisors (2171774932320).

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

823123059360 is a wasteful number, since it uses less digits than its factorization.

823123059360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6980 (or 6972 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 823123059360 in words is "eight hundred twenty-three billion, one hundred twenty-three million, fifty-nine thousand, three hundred sixty".