85778027600 has 60 divisors (see below), whose sum is σ = 206110974720. Its totient is φ = 34306339200.

The previous prime is 85778027591. The next prime is 85778027617. The reversal of 85778027600 is 672087758.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4413905 + ... + 4433295.

It is an arithmetic number, because the mean of its divisors is an integer number (3435182912).

Almost surely, 2^85778027600 is an apocalyptic number.

85778027600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85778027600 is an abundant number, since it is smaller than the sum of its proper divisors (120332947120).

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

85778027600 is a wasteful number, since it uses less digits than its factorization.

85778027600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30468 (or 30457 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 50.

The spelling of 85778027600 in words is "eighty-five billion, seven hundred seventy-eight million, twenty-seven thousand, six hundred".