85723792128 has 576 divisors, whose sum is σ = 287213068800. Its totient is φ = 25035816960.

The previous prime is 85723792093. The next prime is 85723792171. The reversal of 85723792128 is 82129732758.

85723792128 is a `hidden beast` number, since 8 + 57 + 2 + 379 + 212 + 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174589963 + ... + 174590453.

It is an arithmetic number, because the mean of its divisors is an integer number (498633800).

Almost surely, 2^85723792128 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 85723792128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143606534400).

85723792128 is an abundant number, since it is smaller than the sum of its proper divisors (201489276672).

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

85723792128 is a wasteful number, since it uses less digits than its factorization.

85723792128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 605 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 85723792128 in words is "eighty-five billion, seven hundred twenty-three million, seven hundred ninety-two thousand, one hundred twenty-eight".