85878159360 has 768 divisors, whose sum is σ = 332862566400. Its totient is φ = 18485870592.

The previous prime is 85878159349. The next prime is 85878159397. The reversal of 85878159360 is 6395187858.

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 (60).

It is a junction number, because it is equal to n+sod(n) for n = 85878159294 and 85878159303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 293099374 + ... + 293099666.

It is an arithmetic number, because the mean of its divisors is an integer number (433414800).

Almost surely, 2^85878159360 is an apocalyptic number.

85878159360 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 85878159360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166431283200).

85878159360 is an abundant number, since it is smaller than the sum of its proper divisors (246984407040).

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

85878159360 is a wasteful number, since it uses less digits than its factorization.

85878159360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 60.

The spelling of 85878159360 in words is "eighty-five billion, eight hundred seventy-eight million, one hundred fifty-nine thousand, three hundred sixty".