85053612000 has 576 divisors, whose sum is σ = 328409303040. Its totient is φ = 19184256000.

The previous prime is 85053611983. The next prime is 85053612001. The reversal of 85053612000 is 21635058.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85053612001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46451085 + ... + 46452915.

It is an arithmetic number, because the mean of its divisors is an integer number (570155040).

Almost surely, 2^85053612000 is an apocalyptic number.

85053612000 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 85053612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164204651520).

85053612000 is an abundant number, since it is smaller than the sum of its proper divisors (243355691040).

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

85053612000 is a wasteful number, since it uses less digits than its factorization.

85053612000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 85053612000 in words is "eighty-five billion, fifty-three million, six hundred twelve thousand".