85342666217760 has 288 divisors, whose sum is σ = 347307546942720. Its totient is φ = 18658769209344.

The previous prime is 85342666217747. The next prime is 85342666217813. The reversal of 85342666217760 is 6771266624358.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

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, 183823255 + ... + 184286934.

It is an arithmetic number, because the mean of its divisors is an integer number (1205928982440).

Almost surely, 2^{85342666217760} is an apocalyptic number.

85342666217760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85342666217760 is an abundant number, since it is smaller than the sum of its proper divisors (261964880724960).

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

85342666217760 is a wasteful number, since it uses less digits than its factorization.

85342666217760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368110240 (or 368110229 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 85342666217760 in words is "eighty-five trillion, three hundred forty-two billion, six hundred sixty-six million, two hundred seventeen thousand, seven hundred sixty".