85566792053824 has 63 divisors (see below), whose sum is σ = 177503571339493. Its totient is φ = 40922434353152.

The previous prime is 85566792053803. The next prime is 85566792053887. The reversal of 85566792053824 is 42835029766558.

The square root of 85566792053824 is 9250232.

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

It can be written as a sum of positive squares in only one way, i.e., 53131853505600 + 32434938548224 = 7289160^2 + 5695168^2 .

It is a super-2 number, since 2×85566792053824² (a number of 29 digits) contains 22 as substring.

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, 1702017552 + ... + 1702067824.

Almost surely, 2^{85566792053824} is an apocalyptic number.

85566792053824 is the 9250232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85566792053824

85566792053824 is an abundant number, since it is smaller than the sum of its proper divisors (91936779285669).

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

85566792053824 is an frugal number, since it uses more digits than its factorization.

85566792053824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100604 (or 50298 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 70.

The spelling of 85566792053824 in words is "eighty-five trillion, five hundred sixty-six billion, seven hundred ninety-two million, fifty-three thousand, eight hundred twenty-four".