85475172706560 has 3456 divisors, whose sum is σ = 410553552374784. Its totient is φ = 16511297126400.

The previous prime is 85475172706519. The next prime is 85475172706643. The reversal of 85475172706560 is 6560727157458.

It is a happy number.

85475172706560 is a `hidden beast` number, since 8 + 5 + 47 + 5 + 1 + 7 + 27 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17803616160 + ... + 17803620960.

It is an arithmetic number, because the mean of its divisors is an integer number (118794430664).

Almost surely, 2^{85475172706560} is an apocalyptic number.

85475172706560 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 85475172706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205276776187392).

85475172706560 is an abundant number, since it is smaller than the sum of its proper divisors (325078379668224).

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

85475172706560 is a wasteful number, since it uses less digits than its factorization.

85475172706560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4911 (or 4885 counting only the distinct ones).

The product of its (nonzero) digits is 98784000, while the sum is 63.

The spelling of 85475172706560 in words is "eighty-five trillion, four hundred seventy-five billion, one hundred seventy-two million, seven hundred six thousand, five hundred sixty".