85246710120 has 1280 divisors, whose sum is σ = 363562214400. Its totient is φ = 17597399040.

The previous prime is 85246710113. The next prime is 85246710127. The reversal of 85246710120 is 2101764258.

85246710120 is a `hidden beast` number, since 8 + 524 + 6 + 7 + 1 + 0 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (85246710113) and next prime (85246710127).

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

It is not an unprimeable number, because it can be changed into a prime (85246710127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 622238692 + ... + 622238828.

It is an arithmetic number, because the mean of its divisors is an integer number (284032980).

Almost surely, 2^85246710120 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 85246710120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181781107200).

85246710120 is an abundant number, since it is smaller than the sum of its proper divisors (278315504280).

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

85246710120 is a wasteful number, since it uses less digits than its factorization.

85246710120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 85246710120 in words is "eighty-five billion, two hundred forty-six million, seven hundred ten thousand, one hundred twenty".