85194883892160 has 672 divisors, whose sum is σ = 349724647077120. Its totient is φ = 19467164215296.

The previous prime is 85194883892141. The next prime is 85194883892179. The reversal of 85194883892160 is 6129838849158.

85194883892160 is a `hidden beast` number, since 8 + 5 + 1 + 9 + 4 + 88 + 389 + 2 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (85194883892141) and next prime (85194883892179).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1467760099 + ... + 1467818141.

It is an arithmetic number, because the mean of its divisors is an integer number (520423581960).

Almost surely, 2^{85194883892160} is an apocalyptic number.

85194883892160 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 85194883892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174862323538560).

85194883892160 is an abundant number, since it is smaller than the sum of its proper divisors (264529763184960).

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

85194883892160 is a wasteful number, since it uses less digits than its factorization.

85194883892160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61550 (or 61527 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 72.

The spelling of 85194883892160 in words is "eighty-five trillion, one hundred ninety-four billion, eight hundred eighty-three million, eight hundred ninety-two thousand, one hundred sixty".