10724408085 has 32 divisors (see below), whose sum is σ = 17441424000. Its totient is φ = 5626319616.

The previous prime is 10724408083. The next prime is 10724408161. The reversal of 10724408085 is 58080442701.

It is a happy number.

It is not a de Polignac number, because 10724408085 - 2¹ = 10724408083 is a prime.

It is a super-2 number, since 2×10724408085² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10724408083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203671 + ... + 250859.

It is an arithmetic number, because the mean of its divisors is an integer number (545044500).

Almost surely, 2^10724408085 is an apocalyptic number.

10724408085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10724408085 is a deficient number, since it is larger than the sum of its proper divisors (6717015915).

10724408085 is a wasteful number, since it uses less digits than its factorization.

10724408085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47445.

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 10724408085 in words is "ten billion, seven hundred twenty-four million, four hundred eight thousand, eighty-five".