85544910000000 has 1280 divisors, whose sum is σ = 347190177597120. Its totient is φ = 20736000000000.

The previous prime is 85544909999993. The next prime is 85544910000001. The reversal of 85544910000000 is 1944558.

85544910000000 is a `hidden beast` number, since 8 + 5 + 544 + 9 + 100 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 85544910000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85544910000001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8909995200 + ... + 8910004800.

Almost surely, 2^{85544910000000} is an apocalyptic number.

85544910000000 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 85544910000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173595088798560).

85544910000000 is an abundant number, since it is smaller than the sum of its proper divisors (261645267597120).

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

85544910000000 is an frugal number, since it uses more digits than its factorization.

85544910000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9673 (or 9622 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 85544910000000 its reverse (1944558), we get a palindrome (85544911944558).

The spelling of 85544910000000 in words is "eighty-five trillion, five hundred forty-four billion, nine hundred ten million", and thus it is an aban number.