83200847708160 has 5440 divisors, whose sum is σ = 404990515776000. Its totient is φ = 16181071183872.

The previous prime is 83200847708149. The next prime is 83200847708191. The reversal of 83200847708160 is 6180774800238.

It is a happy number.

83200847708160 is a `hidden beast` number, since 8 + 3 + 2 + 0 + 0 + 8 + 477 + 0 + 8 + 160 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 83200847708097 and 83200847708106.

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 319 ways as a sum of consecutive naturals, for example, 2248671559662 + ... + 2248671559698.

Almost surely, 2^{83200847708160} is an apocalyptic number.

83200847708160 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 83200847708160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202495257888000).

83200847708160 is an abundant number, since it is smaller than the sum of its proper divisors (321789668067840).

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

83200847708160 is an equidigital number, since it uses as much as digits as its factorization.

83200847708160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 83200847708160 in words is "eighty-three trillion, two hundred billion, eight hundred forty-seven million, seven hundred eight thousand, one hundred sixty".