85888696320 has 768 divisors, whose sum is σ = 348906242880. Its totient is φ = 19138609152.

The previous prime is 85888696303. The next prime is 85888696321. The reversal of 85888696320 is 2369688858.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85888696321) 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 47 ways as a sum of consecutive naturals, for example, 547061682 + ... + 547061838.

Almost surely, 2^85888696320 is an apocalyptic number.

85888696320 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 85888696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174453121440).

85888696320 is an abundant number, since it is smaller than the sum of its proper divisors (263017546560).

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

85888696320 is a wasteful number, since it uses less digits than its factorization.

85888696320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 85888696320 in words is "eighty-five billion, eight hundred eighty-eight million, six hundred ninety-six thousand, three hundred twenty".