85777728880 has 40 divisors (see below), whose sum is σ = 206310232800. Its totient is φ = 33127949568.

The previous prime is 85777728859. The next prime is 85777728893. The reversal of 85777728880 is 8882777758.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18484260 + ... + 18488899.

It is an arithmetic number, because the mean of its divisors is an integer number (5157755820).

Almost surely, 2^85777728880 is an apocalyptic number.

85777728880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85777728880 is an abundant number, since it is smaller than the sum of its proper divisors (120532503920).

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

85777728880 is a wasteful number, since it uses less digits than its factorization.

85777728880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36973201 (or 36973195 counting only the distinct ones).

The product of its (nonzero) digits is 98344960, while the sum is 67.

The spelling of 85777728880 in words is "eighty-five billion, seven hundred seventy-seven million, seven hundred twenty-eight thousand, eight hundred eighty".