823998695520 has 1536 divisors, whose sum is σ = 3666023940096. Its totient is φ = 149955379200.

The previous prime is 823998695503. The next prime is 823998695539. The reversal of 823998695520 is 25596899328.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 1911829705 + ... + 1911830135.

It is an arithmetic number, because the mean of its divisors is an integer number (2386734336).

Almost surely, 2^823998695520 is an apocalyptic number.

823998695520 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 823998695520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833011970048).

823998695520 is an abundant number, since it is smaller than the sum of its proper divisors (2842025244576).

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

823998695520 is a wasteful number, since it uses less digits than its factorization.

823998695520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 66.

The spelling of 823998695520 in words is "eight hundred twenty-three billion, nine hundred ninety-eight million, six hundred ninety-five thousand, five hundred twenty".