85605572038896 has 540 divisors, whose sum is σ = 302185037180208. Its totient is φ = 22151183228928.

The previous prime is 85605572038891. The next prime is 85605572038913. The reversal of 85605572038896 is 69883027550658.

85605572038896 is a `hidden beast` number, since 8 + 5 + 60 + 557 + 2 + 0 + 3 + 8 + 8 + 9 + 6 = 666.

85605572038896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×85605572038896² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85605572038891) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 478429320 + ... + 478608216.

Almost surely, 2^{85605572038896} 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 85605572038896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151092518590104).

85605572038896 is an abundant number, since it is smaller than the sum of its proper divisors (216579465141312).

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

85605572038896 is a wasteful number, since it uses less digits than its factorization.

85605572038896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179050 (or 178975 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 72.

The spelling of 85605572038896 in words is "eighty-five trillion, six hundred five billion, five hundred seventy-two million, thirty-eight thousand, eight hundred ninety-six".