823075899360 has 1152 divisors, whose sum is σ = 3162532222080. Its totient is φ = 178681282560.

The previous prime is 823075899337. The next prime is 823075899361. The reversal of 823075899360 is 63998570328.

It is a super-2 number, since 2×823075899360² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 823075899294 and 823075899303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823075899361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6007853212 + ... + 6007853348.

It is an arithmetic number, because the mean of its divisors is an integer number (2745253665).

Almost surely, 2^823075899360 is an apocalyptic number.

823075899360 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 823075899360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581266111040).

823075899360 is an abundant number, since it is smaller than the sum of its proper divisors (2339456322720).

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

823075899360 is a wasteful number, since it uses less digits than its factorization.

823075899360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 823075899360 in words is "eight hundred twenty-three billion, seventy-five million, eight hundred ninety-nine thousand, three hundred sixty".