85571730720 has 576 divisors, whose sum is σ = 347854590720. Its totient is φ = 19459657728.

The previous prime is 85571730661. The next prime is 85571730749. The reversal of 85571730720 is 2703717558.

85571730720 is a `hidden beast` number, since 8 + 5 + 571 + 7 + 3 + 0 + 72 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62323954 + ... + 62325326.

It is an arithmetic number, because the mean of its divisors is an integer number (603914220).

Almost surely, 2^85571730720 is an apocalyptic number.

85571730720 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 85571730720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173927295360).

85571730720 is an abundant number, since it is smaller than the sum of its proper divisors (262282860000).

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

85571730720 is a wasteful number, since it uses less digits than its factorization.

85571730720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 85571730720 in words is "eighty-five billion, five hundred seventy-one million, seven hundred thirty thousand, seven hundred twenty".