85504745664 has 560 divisors, whose sum is σ = 286068138048. Its totient is φ = 25076293632.

The previous prime is 85504745659. The next prime is 85504745671. The reversal of 85504745664 is 46654740558.

85504745664 is a `hidden beast` number, since 8 + 5 + 5 + 0 + 4 + 74 + 566 + 4 = 666.

It is a super-2 number, since 2×85504745664² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 85504745664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 132155389 + ... + 132156035.

Almost surely, 2^85504745664 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 85504745664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143034069024).

85504745664 is an abundant number, since it is smaller than the sum of its proper divisors (200563392384).

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

85504745664 is a wasteful number, since it uses less digits than its factorization.

85504745664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 85504745664 in words is "eighty-five billion, five hundred four million, seven hundred forty-five thousand, six hundred sixty-four".