85216215240 has 480 divisors, whose sum is σ = 326511820800. Its totient is φ = 19869857280.

The previous prime is 85216215179. The next prime is 85216215247. The reversal of 85216215240 is 4251261258.

85216215240 is a `hidden beast` number, since 8 + 5 + 2 + 1 + 621 + 5 + 24 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 85216215195 and 85216215204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85216215247) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10399545 + ... + 10407735.

It is an arithmetic number, because the mean of its divisors is an integer number (680232960).

Almost surely, 2^85216215240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85216215240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163255910400).

85216215240 is an abundant number, since it is smaller than the sum of its proper divisors (241295605560).

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

85216215240 is a wasteful number, since it uses less digits than its factorization.

85216215240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8259 (or 8233 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 85216215240 its reverse (4251261258), we get a palindrome (89467476498).

The spelling of 85216215240 in words is "eighty-five billion, two hundred sixteen million, two hundred fifteen thousand, two hundred forty".