85297368162240 has 336 divisors, whose sum is σ = 317782025372448. Its totient is φ = 20874907901952.

The previous prime is 85297368162221. The next prime is 85297368162283. The reversal of 85297368162240 is 4226186379258.

85297368162240 is a `hidden beast` number, since 8 + 5 + 2 + 97 + 368 + 162 + 24 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107394 + ... + 13061633.

It is an arithmetic number, because the mean of its divisors is an integer number (945779837418).

It is a 2-persistent number, because it is pandigital, and so is 2⋅85297368162240 = 170594736324480, but 3⋅85297368162240 = 255892104486720 is not.

Almost surely, 2^{85297368162240} is an apocalyptic number.

85297368162240 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 85297368162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158891012686224).

85297368162240 is an abundant number, since it is smaller than the sum of its proper divisors (232484657210208).

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

85297368162240 is a wasteful number, since it uses less digits than its factorization.

85297368162240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13169236 (or 13169223 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 85297368162240 in words is "eighty-five trillion, two hundred ninety-seven billion, three hundred sixty-eight million, one hundred sixty-two thousand, two hundred forty".