85565534026896 has 2025 divisors, whose sum is σ = 328156425629571. Its totient is φ = 21445580217600.

The previous prime is 85565534026829. The next prime is 85565534026927. The reversal of 85565534026896 is 69862043556558.

It is a happy number.

The square root of 85565534026896 is 9250164.

It is a perfect power (a square), and thus also a powerful number.

85565534026896 is a `hidden beast` number, since 8 + 5 + 5 + 6 + 5 + 534 + 0 + 2 + 6 + 89 + 6 = 666.

It is a super-2 number, since 2×85565534026896² (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 an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 1205148366541 + ... + 1205148366611.

Almost surely, 2^{85565534026896} is an apocalyptic number.

85565534026896 is the 9250164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85565534026896

85565534026896 is an abundant number, since it is smaller than the sum of its proper divisors (242590891602675).

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

85565534026896 is a wasteful number, since it uses less digits than its factorization.

85565534026896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1866240000, while the sum is 72.

The spelling of 85565534026896 in words is "eighty-five trillion, five hundred sixty-five billion, five hundred thirty-four million, twenty-six thousand, eight hundred ninety-six".