10724161536 has 336 divisors, whose sum is σ = 35126353080. Its totient is φ = 3244769280.

The previous prime is 10724161501. The next prime is 10724161577. The reversal of 10724161536 is 63516142701.

10724161536 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 4 + 1 + 615 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10724161536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 16422586 + ... + 16423238.

Almost surely, 2^10724161536 is an apocalyptic number.

10724161536 is a gapful number since it is divisible by the number (16) 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 10724161536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17563176540).

10724161536 is an abundant number, since it is smaller than the sum of its proper divisors (24402191544).

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

10724161536 is an frugal number, since it uses more digits than its factorization.

10724161536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10724161536 in words is "ten billion, seven hundred twenty-four million, one hundred sixty-one thousand, five hundred thirty-six".