85878759532608 has 1008 divisors, whose sum is σ = 306419608639872. Its totient is φ = 23354276659200.

The previous prime is 85878759532591. The next prime is 85878759532613. The reversal of 85878759532608 is 80623595787858.

85878759532608 is a `hidden beast` number, since 8 + 5 + 8 + 7 + 8 + 75 + 9 + 532 + 6 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×85878759532608² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6381709816 + ... + 6381723272.

It is an arithmetic number, because the mean of its divisors is an integer number (303987706984).

Almost surely, 2^{85878759532608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85878759532608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153209804319936).

85878759532608 is an abundant number, since it is smaller than the sum of its proper divisors (220540849107264).

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

85878759532608 is a wasteful number, since it uses less digits than its factorization.

85878759532608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13614 (or 13561 counting only the distinct ones).

The product of its (nonzero) digits is 8128512000, while the sum is 81.

The spelling of 85878759532608 in words is "eighty-five trillion, eight hundred seventy-eight billion, seven hundred fifty-nine million, five hundred thirty-two thousand, six hundred eight".