85009973067 has 32 divisors (see below), whose sum is σ = 135175728960. Its totient is φ = 52608890880.

The previous prime is 85009973023. The next prime is 85009973077. The reversal of 85009973067 is 76037990058.

85009973067 is a `hidden beast` number, since 8 + 500 + 9 + 9 + 73 + 0 + 67 = 666.

It is not a de Polignac number, because 85009973067 - 2¹² = 85009968971 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85009973077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1235034 + ... + 1302047.

It is an arithmetic number, because the mean of its divisors is an integer number (4224241530).

Almost surely, 2^85009973067 is an apocalyptic number.

85009973067 is a deficient number, since it is larger than the sum of its proper divisors (50165755893).

85009973067 is a wasteful number, since it uses less digits than its factorization.

85009973067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2537180 (or 2537174 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 85009973067 in words is "eighty-five billion, nine million, nine hundred seventy-three thousand, sixty-seven".