85639343040 has 336 divisors, whose sum is σ = 306264198240. Its totient is φ = 22778081280.

The previous prime is 85639343039. The next prime is 85639343063. The reversal of 85639343040 is 4034393658.

85639343040 is a `hidden beast` number, since 8 + 5 + 639 + 3 + 4 + 3 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35846166 + ... + 35848554.

It is an arithmetic number, because the mean of its divisors is an integer number (911500590).

Almost surely, 2^85639343040 is an apocalyptic number.

85639343040 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 85639343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153132099120).

85639343040 is an abundant number, since it is smaller than the sum of its proper divisors (220624855200).

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

85639343040 is a wasteful number, since it uses less digits than its factorization.

85639343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 85639343040 in words is "eighty-five billion, six hundred thirty-nine million, three hundred forty-three thousand, forty".