85212103680 has 440 divisors, whose sum is σ = 333129107520. Its totient is φ = 20656373760.

The previous prime is 85212103667. The next prime is 85212103699. The reversal of 85212103680 is 8630121258.

It is a happy number.

85212103680 is a `hidden beast` number, since 8 + 521 + 21 + 0 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (440).

It is a super-4 number, since 4×85212103680⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 4552581 + ... + 4571259.

It is an arithmetic number, because the mean of its divisors is an integer number (757111608).

Almost surely, 2^85212103680 is an apocalyptic number.

85212103680 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 85212103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166564553760).

85212103680 is an abundant number, since it is smaller than the sum of its proper divisors (247917003840).

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

85212103680 is a wasteful number, since it uses less digits than its factorization.

85212103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18727 (or 18700 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 85212103680 in words is "eighty-five billion, two hundred twelve million, one hundred three thousand, six hundred eighty".