85716057047040 has 960 divisors, whose sum is σ = 352497508715520. Its totient is φ = 19355900313600.

The previous prime is 85716057047017. The next prime is 85716057047041. The reversal of 85716057047040 is 4074075061758.

85716057047040 is a `hidden beast` number, since 8 + 5 + 7 + 1 + 60 + 5 + 70 + 470 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85716057047041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1285045690 + ... + 1285112390.

It is an arithmetic number, because the mean of its divisors is an integer number (367184904912).

Almost surely, 2^{85716057047040} is an apocalyptic number.

85716057047040 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 85716057047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176248754357760).

85716057047040 is an abundant number, since it is smaller than the sum of its proper divisors (266781451668480).

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

85716057047040 is an equidigital number, since it uses as much as digits as its factorization.

85716057047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66833 (or 66801 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 85716057047040 in words is "eighty-five trillion, seven hundred sixteen billion, fifty-seven million, forty-seven thousand, forty".