85115748744000 has 2016 divisors, whose sum is σ = 344427357884064. Its totient is φ = 19943984332800.

The previous prime is 85115748743983. The next prime is 85115748744001. The reversal of 85115748744000 is 44784751158.

It is a happy number.

85115748744000 is a `hidden beast` number, since 8 + 5 + 1 + 157 + 4 + 87 + 4 + 400 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 80223406389504 + 4892342354496 = 8956752^2 + 2211864^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85115748744001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 196572167784 + ... + 196572168216.

Almost surely, 2^{85115748744000} is an apocalyptic number.

85115748744000 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 85115748744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172213678942032).

85115748744000 is an abundant number, since it is smaller than the sum of its proper divisors (259311609140064).

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

85115748744000 is a wasteful number, since it uses less digits than its factorization.

85115748744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 85115748744000 in words is "eighty-five trillion, one hundred fifteen billion, seven hundred forty-eight million, seven hundred forty-four thousand".