85245283643520 has 3072 divisors, whose sum is σ = 379130463129600. Its totient is φ = 15732552499200.

The previous prime is 85245283643497. The next prime is 85245283643617. The reversal of 85245283643520 is 2534638254258.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 470968417830 + ... + 470968418010.

It is an arithmetic number, because the mean of its divisors is an integer number (123414864300).

Almost surely, 2^{85245283643520} is an apocalyptic number.

85245283643520 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 85245283643520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189565231564800).

85245283643520 is an abundant number, since it is smaller than the sum of its proper divisors (293885179486080).

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

85245283643520 is a wasteful number, since it uses less digits than its factorization.

85245283643520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 57.

The spelling of 85245283643520 in words is "eighty-five trillion, two hundred forty-five billion, two hundred eighty-three million, six hundred forty-three thousand, five hundred twenty".