85377084342912 has 384 divisors, whose sum is σ = 271731440223360. Its totient is φ = 25593221677056.

The previous prime is 85377084342833. The next prime is 85377084342931. The reversal of 85377084342912 is 21924348077358.

It is a happy number.

85377084342912 is a `hidden beast` number, since 8 + 53 + 7 + 70 + 84 + 3 + 429 + 12 = 666.

85377084342912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 85377084342912.

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 47 ways as a sum of consecutive naturals, for example, 426459028 + ... + 426659180.

It is an arithmetic number, because the mean of its divisors is an integer number (707633958915).

Almost surely, 2^{85377084342912} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85377084342912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135865720111680).

85377084342912 is an abundant number, since it is smaller than the sum of its proper divisors (186354355880448).

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

85377084342912 is a wasteful number, since it uses less digits than its factorization.

85377084342912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201160 (or 201145 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 85377084342912 in words is "eighty-five trillion, three hundred seventy-seven billion, eighty-four million, three hundred forty-two thousand, nine hundred twelve".