85351587840 has 448 divisors, whose sum is σ = 308010885120. Its totient is φ = 22419210240.

The previous prime is 85351587803. The next prime is 85351587847. The reversal of 85351587840 is 4878515358.

85351587840 is a `hidden beast` number, since 8 + 5 + 3 + 51 + 587 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85351587847) 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 31 ways as a sum of consecutive naturals, for example, 78519777 + ... + 78520863.

Almost surely, 2^85351587840 is an apocalyptic number.

85351587840 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 85351587840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154005442560).

85351587840 is an abundant number, since it is smaller than the sum of its proper divisors (222659297280).

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

85351587840 is a wasteful number, since it uses less digits than its factorization.

85351587840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 85351587840 in words is "eighty-five billion, three hundred fifty-one million, five hundred eighty-seven thousand, eight hundred forty".