85915435008 has 512 divisors, whose sum is σ = 267760281600. Its totient is φ = 24291311616.

The previous prime is 85915434973. The next prime is 85915435027. The reversal of 85915435008 is 80053451958.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×85915435008² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1087537113 + ... + 1087537191.

It is an arithmetic number, because the mean of its divisors is an integer number (522969300).

Almost surely, 2^85915435008 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 85915435008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133880140800).

85915435008 is an abundant number, since it is smaller than the sum of its proper divisors (181844846592).

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

85915435008 is a wasteful number, since it uses less digits than its factorization.

85915435008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The spelling of 85915435008 in words is "eighty-five billion, nine hundred fifteen million, four hundred thirty-five thousand, eight".