85160663952 has 640 divisors, whose sum is σ = 298647552000. Its totient is φ = 20282296320.

The previous prime is 85160663911. The next prime is 85160663963. The reversal of 85160663952 is 25936606158.

It is a junction number, because it is equal to n+sod(n) for n = 85160663895 and 85160663904.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 203247199 + ... + 203247617.

It is an arithmetic number, because the mean of its divisors is an integer number (466636800).

Almost surely, 2^85160663952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85160663952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149323776000).

85160663952 is an abundant number, since it is smaller than the sum of its proper divisors (213486888048).

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

85160663952 is a wasteful number, since it uses less digits than its factorization.

85160663952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 85160663952 in words is "eighty-five billion, one hundred sixty million, six hundred sixty-three thousand, nine hundred fifty-two".