85897683567360 has 1152 divisors, whose sum is σ = 350278960066560. Its totient is φ = 19526073974784.

The previous prime is 85897683567317. The next prime is 85897683567403. The reversal of 85897683567360 is 6376538679858.

85897683567360 is a `hidden beast` number, since 8 + 5 + 89 + 7 + 68 + 356 + 73 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (85897683567317) and next prime (85897683567403).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 85897683567360.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45861015384 + ... + 45861017256.

It is an arithmetic number, because the mean of its divisors is an integer number (304061597280).

Almost surely, 2^{85897683567360} is an apocalyptic number.

85897683567360 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 85897683567360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175139480033280).

85897683567360 is an abundant number, since it is smaller than the sum of its proper divisors (264381276499200).

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

85897683567360 is a wasteful number, since it uses less digits than its factorization.

85897683567360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 10973491200, while the sum is 81.

The spelling of 85897683567360 in words is "eighty-five trillion, eight hundred ninety-seven billion, six hundred eighty-three million, five hundred sixty-seven thousand, three hundred sixty".