85013967920 has 80 divisors (see below), whose sum is σ = 227519604480. Its totient is φ = 28937924352.

The previous prime is 85013967917. The next prime is 85013967959. The reversal of 85013967920 is 2976931058.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 468242 + ... + 623921.

It is an arithmetic number, because the mean of its divisors is an integer number (2843995056).

Almost surely, 2^85013967920 is an apocalyptic number.

85013967920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85013967920 is an abundant number, since it is smaller than the sum of its proper divisors (142505636560).

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

85013967920 is a wasteful number, since it uses less digits than its factorization.

85013967920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092322 (or 1092316 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 50.

The spelling of 85013967920 in words is "eighty-five billion, thirteen million, nine hundred sixty-seven thousand, nine hundred twenty".