85386312000000 has 2450 divisors, whose sum is σ = 351706994088945. Its totient is φ = 20699712000000.

The previous prime is 85386311999993. The next prime is 85386312000019. The reversal of 85386312000000 is 21368358.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 14560757012736 + 70825554987264 = 3815856^2 + 8415792^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6534000.

It is a super-2 number, since 2×85386312000000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 244 ways as a sum of consecutive naturals, for example, 7762391999995 + ... + 7762392000005.

Almost surely, 2^{85386312000000} is an apocalyptic number.

85386312000000 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 85386312000000

85386312000000 is an abundant number, since it is smaller than the sum of its proper divisors (266320682088945).

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

85386312000000 is an frugal number, since it uses more digits than its factorization.

85386312000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 85386312000000 its reverse (21368358), we get a palindrome (85386333368358).

The spelling of 85386312000000 in words is "eighty-five trillion, three hundred eighty-six billion, three hundred twelve million", and thus it is an aban number.