10517076724 has 96 divisors (see below), whose sum is σ = 24361585920. Its totient is φ = 3846144000.

The previous prime is 10517076721. The next prime is 10517076749. The reversal of 10517076724 is 42767071501.

It is a happy number.

It is a super-2 number, since 2×10517076724² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10517076721) 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, 2097132 + ... + 2102140.

It is an arithmetic number, because the mean of its divisors is an integer number (253766520).

Almost surely, 2^10517076724 is an apocalyptic number.

10517076724 is a gapful number since it is divisible by the number (14) 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 10517076724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12180792960).

10517076724 is an abundant number, since it is smaller than the sum of its proper divisors (13844509196).

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

10517076724 is a wasteful number, since it uses less digits than its factorization.

10517076724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5449 (or 5447 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 40.

The spelling of 10517076724 in words is "ten billion, five hundred seventeen million, seventy-six thousand, seven hundred twenty-four".