85713101824 has 99 divisors (see below), whose sum is σ = 199469401203. Its totient is φ = 36706080768.

The previous prime is 85713101813. The next prime is 85713101857. The reversal of 85713101824 is 42810131758.

The square root of 85713101824 is 292768.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 65579379 + ... + 65580685.

Almost surely, 2^85713101824 is an apocalyptic number.

85713101824 is the 292768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85713101824

85713101824 is an abundant number, since it is smaller than the sum of its proper divisors (113756299379).

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

85713101824 is an frugal number, since it uses more digits than its factorization.

85713101824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The spelling of 85713101824 in words is "eighty-five billion, seven hundred thirteen million, one hundred one thousand, eight hundred twenty-four".