85593155328 has 576 divisors, whose sum is σ = 284917248000. Its totient is φ = 25214644224.

The previous prime is 85593155287. The next prime is 85593155353. The reversal of 85593155328 is 82355139558.

85593155328 is a `hidden beast` number, since 8 + 5 + 5 + 93 + 15 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129883063 + ... + 129883721.

It is an arithmetic number, because the mean of its divisors is an integer number (494648000).

Almost surely, 2^85593155328 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 85593155328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142458624000).

85593155328 is an abundant number, since it is smaller than the sum of its proper divisors (199324092672).

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

85593155328 is a wasteful number, since it uses less digits than its factorization.

85593155328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 749 counting only the distinct ones).

The product of its digits is 6480000, while the sum is 54.

The spelling of 85593155328 in words is "eighty-five billion, five hundred ninety-three million, one hundred fifty-five thousand, three hundred twenty-eight".