85960602000000 has 5600 divisors, whose sum is σ = 425366888437260. Its totient is φ = 17069875200000.

The previous prime is 85960601999969. The next prime is 85960602000019. The reversal of 85960602000000 is 20606958.

85960602000000 is a `hidden beast` number, since 8 + 596 + 0 + 60 + 2 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 14 ways, for example, as 77854646366784 + 8105955633216 = 8823528^2 + 2847096^2 .

It is a tau number, because it is divible by the number of its divisors (5600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 699 ways as a sum of consecutive naturals, for example, 5056505999992 + ... + 5056506000008.

Almost surely, 2^{85960602000000} is an apocalyptic number.

85960602000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85960602000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212683444218630).

85960602000000 is an abundant number, since it is smaller than the sum of its proper divisors (339406286437260).

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

85960602000000 is an frugal number, since it uses more digits than its factorization.

85960602000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 85960602000000 its reverse (20606958), we get a palindrome (85960622606958).

The spelling of 85960602000000 in words is "eighty-five trillion, nine hundred sixty billion, six hundred two million", and thus it is an aban number.