85167141649920 has 960 divisors, whose sum is σ = 343153369278720. Its totient is φ = 19292140339200.

The previous prime is 85167141649901. The next prime is 85167141649921. The reversal of 85167141649920 is 2994614176158.

85167141649920 is a `hidden beast` number, since 8 + 5 + 16 + 71 + 41 + 6 + 499 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85167141649921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 598807615 + ... + 598949825.

It is an arithmetic number, because the mean of its divisors is an integer number (357451426332).

Almost surely, 2^{85167141649920} is an apocalyptic number.

85167141649920 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 85167141649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171576684639360).

85167141649920 is an abundant number, since it is smaller than the sum of its proper divisors (257986227628800).

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

85167141649920 is a wasteful number, since it uses less digits than its factorization.

85167141649920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142407 (or 142388 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 85167141649920 in words is "eighty-five trillion, one hundred sixty-seven billion, one hundred forty-one million, six hundred forty-nine thousand, nine hundred twenty".