83685419930880 has 1152 divisors, whose sum is σ = 326927636904960. Its totient is φ = 20435310084096.

The previous prime is 83685419930873. The next prime is 83685419930899. The reversal of 83685419930880 is 8803991458638.

83685419930880 is a `hidden beast` number, since 8 + 3 + 6 + 8 + 54 + 199 + 308 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 83685419930799 and 83685419930808.

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 127 ways as a sum of consecutive naturals, for example, 1760773677 + ... + 1760821203.

It is an arithmetic number, because the mean of its divisors is an integer number (283791351480).

Almost surely, 2^{83685419930880} is an apocalyptic number.

83685419930880 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 83685419930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163463818452480).

83685419930880 is an abundant number, since it is smaller than the sum of its proper divisors (243242216974080).

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

83685419930880 is an equidigital number, since it uses as much as digits as its factorization.

83685419930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47623 (or 47591 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 83685419930880 in words is "eighty-three trillion, six hundred eighty-five billion, four hundred nineteen million, nine hundred thirty thousand, eight hundred eighty".