85711545999360 has 1344 divisors, whose sum is σ = 320705236680192. Its totient is φ = 21941679292416.

The previous prime is 85711545999341. The next prime is 85711545999377. The reversal of 85711545999360 is 6399954511758.

85711545999360 is a `hidden beast` number, since 8 + 5 + 7 + 11 + 545 + 9 + 9 + 9 + 3 + 60 = 666.

It is a super-2 number, since 2×85711545999360² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 24793618752 + ... + 24793622208.

It is an arithmetic number, because the mean of its divisors is an integer number (238619967768).

Almost surely, 2^{85711545999360} is an apocalyptic number.

85711545999360 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 85711545999360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160352618340096).

85711545999360 is an abundant number, since it is smaller than the sum of its proper divisors (234993690680832).

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

85711545999360 is an equidigital number, since it uses as much as digits as its factorization.

85711545999360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 367416000, while the sum is 72.

The spelling of 85711545999360 in words is "eighty-five trillion, seven hundred eleven billion, five hundred forty-five million, nine hundred ninety-nine thousand, three hundred sixty".