85028724480 has 576 divisors, whose sum is σ = 325361369088. Its totient is φ = 18515312640.

The previous prime is 85028724479. The next prime is 85028724563. The reversal of 85028724480 is 8442782058.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 55828999 + ... + 55830521.

It is an arithmetic number, because the mean of its divisors is an integer number (564863488).

Almost surely, 2^85028724480 is an apocalyptic number.

85028724480 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 85028724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162680684544).

85028724480 is an abundant number, since it is smaller than the sum of its proper divisors (240332644608).

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

85028724480 is a wasteful number, since it uses less digits than its factorization.

85028724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 48.

The spelling of 85028724480 in words is "eighty-five billion, twenty-eight million, seven hundred twenty-four thousand, four hundred eighty".