83829563707200 has 336 divisors, whose sum is σ = 277152821441280. Its totient is φ = 22182209454080.

The previous prime is 83829563707199. The next prime is 83829563707217. The reversal of 83829563707200 is 270736592838.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1672251736 + ... + 1672301864.

Almost surely, 2^{83829563707200} is an apocalyptic number.

83829563707200 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 83829563707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138576410720640).

83829563707200 is an abundant number, since it is smaller than the sum of its proper divisors (193323257734080).

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

83829563707200 is a wasteful number, since it uses less digits than its factorization.

83829563707200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52834 (or 52819 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 83829563707200 in words is "eighty-three trillion, eight hundred twenty-nine billion, five hundred sixty-three million, seven hundred seven thousand, two hundred".