85777200006 has 32 divisors (see below), whose sum is σ = 180616214400. Its totient is φ = 27082641600.

The previous prime is 85777199969. The next prime is 85777200029. The reversal of 85777200006 is 60000277758.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 593706 + ... + 723906.

It is an arithmetic number, because the mean of its divisors is an integer number (5644256700).

Almost surely, 2^85777200006 is an apocalyptic number.

85777200006 is an abundant number, since it is smaller than the sum of its proper divisors (94839014394).

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

85777200006 is a wasteful number, since it uses less digits than its factorization.

85777200006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136004.

The product of its (nonzero) digits is 164640, while the sum is 42.

The spelling of 85777200006 in words is "eighty-five billion, seven hundred seventy-seven million, two hundred thousand, six".