85465156392 has 192 divisors, whose sum is σ = 288829532160. Its totient is φ = 22179830400.

The previous prime is 85465156379. The next prime is 85465156409. The reversal of 85465156392 is 29365156458.

85465156392 is a `hidden beast` number, since 8 + 546 + 5 + 1 + 5 + 6 + 3 + 92 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7217917 + ... + 7229747.

It is an arithmetic number, because the mean of its divisors is an integer number (1504320480).

Almost surely, 2^85465156392 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 85465156392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144414766080).

85465156392 is an abundant number, since it is smaller than the sum of its proper divisors (203364375768).

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

85465156392 is a wasteful number, since it uses less digits than its factorization.

85465156392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13164 (or 13157 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The spelling of 85465156392 in words is "eighty-five billion, four hundred sixty-five million, one hundred fifty-six thousand, three hundred ninety-two".