85744357764 has 48 divisors (see below), whose sum is σ = 215527730880. Its totient is φ = 26374608000.

The previous prime is 85744357723. The next prime is 85744357789. The reversal of 85744357764 is 46775344758.

It is a junction number, because it is equal to n+sod(n) for n = 85744357698 and 85744357707.

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, 422622 + ... + 591690.

It is an arithmetic number, because the mean of its divisors is an integer number (4490161060).

Almost surely, 2^85744357764 is an apocalyptic number.

It is an amenable number.

85744357764 is an abundant number, since it is smaller than the sum of its proper divisors (129783373116).

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

85744357764 is a wasteful number, since it uses less digits than its factorization.

85744357764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172340 (or 172338 counting only the distinct ones).

The product of its digits is 79027200, while the sum is 60.

The spelling of 85744357764 in words is "eighty-five billion, seven hundred forty-four million, three hundred fifty-seven thousand, seven hundred sixty-four".