85778129680 has 40 divisors (see below), whose sum is σ = 199676630592. Its totient is φ = 34269535104.

The previous prime is 85778129669. The next prime is 85778129693. The reversal of 85778129680 is 8692187758.

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

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 7 ways as a sum of consecutive naturals, for example, 585574 + ... + 717253.

Almost surely, 2^85778129680 is an apocalyptic number.

85778129680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85778129680 is an abundant number, since it is smaller than the sum of its proper divisors (113898500912).

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

85778129680 is a wasteful number, since it uses less digits than its factorization.

85778129680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303663 (or 1303657 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 61.

The spelling of 85778129680 in words is "eighty-five billion, seven hundred seventy-eight million, one hundred twenty-nine thousand, six hundred eighty".