85247442000 has 480 divisors, whose sum is σ = 341136856320. Its totient is φ = 19435852800.

The previous prime is 85247441971. The next prime is 85247442001. The reversal of 85247442000 is 24474258.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85247442001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77993454 + ... + 77994546.

It is an arithmetic number, because the mean of its divisors is an integer number (710701784).

Almost surely, 2^85247442000 is an apocalyptic number.

85247442000 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 85247442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170568428160).

85247442000 is an abundant number, since it is smaller than the sum of its proper divisors (255889414320).

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

85247442000 is a wasteful number, since it uses less digits than its factorization.

85247442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 85247442000 in words is "eighty-five billion, two hundred forty-seven million, four hundred forty-two thousand".