85846783680 has 336 divisors, whose sum is σ = 349098534720. Its totient is φ = 18945368064.

The previous prime is 85846783669. The next prime is 85846783681. The reversal of 85846783680 is 8638764858.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (85846783681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 511222 + ... + 658058.

Almost surely, 2^85846783680 is an apocalyptic number.

85846783680 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 85846783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174549267360).

85846783680 is an abundant number, since it is smaller than the sum of its proper divisors (263251751040).

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

85846783680 is a wasteful number, since it uses less digits than its factorization.

85846783680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146896 (or 146883 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 85846783680 in words is "eighty-five billion, eight hundred forty-six million, seven hundred eighty-three thousand, six hundred eighty".