853907132160 has 1728 divisors, whose sum is σ = 3428425728000. Its totient is φ = 202628874240.

The previous prime is 853907132153. The next prime is 853907132203. The reversal of 853907132160 is 61231709358.

853907132160 is a `hidden beast` number, since 8 + 5 + 390 + 71 + 32 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10808951001 + ... + 10808951079.

Almost surely, 2^853907132160 is an apocalyptic number.

853907132160 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 853907132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714212864000).

853907132160 is an abundant number, since it is smaller than the sum of its proper divisors (2574518595840).

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

853907132160 is a wasteful number, since it uses less digits than its factorization.

853907132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 853907132160 in words is "eight hundred fifty-three billion, nine hundred seven million, one hundred thirty-two thousand, one hundred sixty".