83295823338000 has 7200 divisors, whose sum is σ = 423835364883840. Its totient is φ = 15670145433600.

The previous prime is 83295823337989. The next prime is 83295823338031. The reversal of 83295823338000 is 83332859238.

83295823338000 is a `hidden beast` number, since 8 + 3 + 29 + 5 + 8 + 233 + 380 + 0 + 0 = 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 polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 4383990701991 + ... + 4383990702009.

Almost surely, 2^{83295823338000} is an apocalyptic number.

83295823338000 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 83295823338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211917682441920).

83295823338000 is an abundant number, since it is smaller than the sum of its proper divisors (340539541545840).

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

83295823338000 is a wasteful number, since it uses less digits than its factorization.

83295823338000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 83295823338000 in words is "eighty-three trillion, two hundred ninety-five billion, eight hundred twenty-three million, three hundred thirty-eight thousand".