10517993472 has 480 divisors, whose sum is σ = 35236131840. Its totient is φ = 2781757440.

The previous prime is 10517993461. The next prime is 10517993489. The reversal of 10517993472 is 27439971501.

It is a super-2 number, since 2×10517993472² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 339290097 + ... + 339290127.

It is an arithmetic number, because the mean of its divisors is an integer number (73408608).

Almost surely, 2^10517993472 is an apocalyptic number.

10517993472 is a gapful number since it is divisible by the number (12) 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 10517993472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17618065920).

10517993472 is an abundant number, since it is smaller than the sum of its proper divisors (24718138368).

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

10517993472 is an frugal number, since it uses more digits than its factorization.

10517993472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The spelling of 10517993472 in words is "ten billion, five hundred seventeen million, nine hundred ninety-three thousand, four hundred seventy-two".