85385664000 has 1600 divisors, whose sum is σ = 393618056832. Its totient is φ = 17915904000.

The previous prime is 85385663971. The next prime is 85385664017. The reversal of 85385664000 is 46658358.

85385664000 is a `hidden beast` number, since 8 + 538 + 56 + 64 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 471743910 + ... + 471744090.

Almost surely, 2^85385664000 is an apocalyptic number.

85385664000 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 85385664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196809028416).

85385664000 is an abundant number, since it is smaller than the sum of its proper divisors (308232392832).

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

85385664000 is a wasteful number, since it uses less digits than its factorization.

85385664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 85385664000 in words is "eighty-five billion, three hundred eighty-five million, six hundred sixty-four thousand".