83798956800 has 1296 divisors, whose sum is σ = 354962593440. Its totient is φ = 18662031360.

The previous prime is 83798956757. The next prime is 83798956849. The reversal of 83798956800 is 865989738.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 369158287 + ... + 369158513.

It is an arithmetic number, because the mean of its divisors is an integer number (273890890).

Almost surely, 2^83798956800 is an apocalyptic number.

83798956800 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 83798956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177481296720).

83798956800 is an abundant number, since it is smaller than the sum of its proper divisors (271163636640).

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

83798956800 is a wasteful number, since it uses less digits than its factorization.

83798956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 83798956800 in words is "eighty-three billion, seven hundred ninety-eight million, nine hundred fifty-six thousand, eight hundred".