853067411972160 has 1344 divisors, whose sum is σ = 3619137591336960. Its totient is φ = 167879319552000.

The previous prime is 853067411972129. The next prime is 853067411972183. The reversal of 853067411972160 is 61279114760358.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 853067411972094 and 853067411972103.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36975733425 + ... + 36975756495.

It is an arithmetic number, because the mean of its divisors is an integer number (2692810707840).

It is a 1-persistent number, because it is pandigital, but 2⋅853067411972160 = 1706134823944320 is not.

Almost surely, 2^{853067411972160} is an apocalyptic number.

853067411972160 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 853067411972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809568795668480).

853067411972160 is an abundant number, since it is smaller than the sum of its proper divisors (2766070179364800).

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

853067411972160 is a wasteful number, since it uses less digits than its factorization.

853067411972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26896 (or 26879 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 853067411972160 in words is "eight hundred fifty-three trillion, sixty-seven billion, four hundred eleven million, nine hundred seventy-two thousand, one hundred sixty".