5802823950336 has 784 divisors, whose sum is σ = 20059997374464. Its totient is φ = 1643390042112.

The previous prime is 5802823950281. The next prime is 5802823950353. The reversal of 5802823950336 is 6330593282085.

5802823950336 is a `hidden beast` number, since 5 + 8 + 0 + 28 + 239 + 50 + 336 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5309079006 + ... + 5309080098.

Almost surely, 2^{5802823950336} is an apocalyptic number.

5802823950336 is a gapful number since it is divisible by the number (56) 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 5802823950336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10029998687232).

5802823950336 is an abundant number, since it is smaller than the sum of its proper divisors (14257173424128).

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

5802823950336 is an equidigital number, since it uses as much as digits as its factorization.

5802823950336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 5802823950336 in words is "five trillion, eight hundred two billion, eight hundred twenty-three million, nine hundred fifty thousand, three hundred thirty-six".