85921212000 has 768 divisors, whose sum is σ = 317716439040. Its totient is φ = 20155392000.

The previous prime is 85921211951. The next prime is 85921212001. The reversal of 85921212000 is 21212958.

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 (85921212001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 527123919 + ... + 527124081.

It is an arithmetic number, because the mean of its divisors is an integer number (413693280).

Almost surely, 2^85921212000 is an apocalyptic number.

85921212000 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 85921212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158858219520).

85921212000 is an abundant number, since it is smaller than the sum of its proper divisors (231795227040).

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

85921212000 is a wasteful number, since it uses less digits than its factorization.

85921212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

Adding to 85921212000 its reverse (21212958), we get a palindrome (85942424958).

The spelling of 85921212000 in words is "eighty-five billion, nine hundred twenty-one million, two hundred twelve thousand".