86724009600 has 192 divisors, whose sum is σ = 287133378240. Its totient is φ = 23006085120.

The previous prime is 86724009577. The next prime is 86724009611. The reversal of 86724009600 is 690042768.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×86724009600² (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 23 ways as a sum of consecutive naturals, for example, 1829397 + ... + 1876203.

It is an arithmetic number, because the mean of its divisors is an integer number (1495486345).

Almost surely, 2^86724009600 is an apocalyptic number.

86724009600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86724009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143566689120).

86724009600 is an abundant number, since it is smaller than the sum of its proper divisors (200409368640).

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

86724009600 is a wasteful number, since it uses less digits than its factorization.

86724009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47027 (or 47010 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 86724009600 in words is "eighty-six billion, seven hundred twenty-four million, nine thousand, six hundred".