85494075743520 has 768 divisors, whose sum is σ = 310483960012800. Its totient is φ = 21959036928000.

The previous prime is 85494075743501. The next prime is 85494075743543. The reversal of 85494075743520 is 2534757049458.

It is a happy number.

85494075743520 is a `hidden beast` number, since 8 + 5 + 4 + 9 + 4 + 0 + 7 + 574 + 3 + 52 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3525371395 + ... + 3525395645.

It is an arithmetic number, because the mean of its divisors is an integer number (404275989600).

Almost surely, 2^{85494075743520} is an apocalyptic number.

85494075743520 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 85494075743520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155241980006400).

85494075743520 is an abundant number, since it is smaller than the sum of its proper divisors (224989884269280).

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

85494075743520 is a wasteful number, since it uses less digits than its factorization.

85494075743520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24598 (or 24584 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 63.

The spelling of 85494075743520 in words is "eighty-five trillion, four hundred ninety-four billion, seventy-five million, seven hundred forty-three thousand, five hundred twenty".