85978072800 has 108 divisors (see below), whose sum is σ = 303180204600. Its totient is φ = 22927484160.

The previous prime is 85978072769. The next prime is 85978072811. The reversal of 85978072800 is 827087958.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5963500 + ... + 5977899.

Almost surely, 2^85978072800 is an apocalyptic number.

85978072800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85978072800 is an abundant number, since it is smaller than the sum of its proper divisors (217202131800).

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

85978072800 is a wasteful number, since it uses less digits than its factorization.

85978072800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11941425 (or 11941409 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 85978072800 in words is "eighty-five billion, nine hundred seventy-eight million, seventy-two thousand, eight hundred".