85329721600 has 54 divisors (see below), whose sum is σ = 211204409570. Its totient is φ = 34131886080.

The previous prime is 85329721583. The next prime is 85329721627. The reversal of 85329721600 is 612792358.

It can be written as a sum of positive squares in 3 ways, for example, as 19358826496 + 65970895104 = 139136^2 + 256848^2 .

It is a super-2 number, since 2×85329721600² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6659985 + ... + 6672784.

Almost surely, 2^85329721600 is an apocalyptic number.

85329721600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85329721600 is an abundant number, since it is smaller than the sum of its proper divisors (125874687970).

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

85329721600 is a wasteful number, since it uses less digits than its factorization.

85329721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13332795 (or 13332776 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 85329721600 in words is "eighty-five billion, three hundred twenty-nine million, seven hundred twenty-one thousand, six hundred".