10600517472 has 96 divisors (see below), whose sum is σ = 29199502080. Its totient is φ = 3360867840.

The previous prime is 10600517461. The next prime is 10600517479. The reversal of 10600517472 is 27471500601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10600517472² (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 (10600517479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381822 + ... + 408642.

It is an arithmetic number, because the mean of its divisors is an integer number (304161480).

Almost surely, 2^10600517472 is an apocalyptic number.

10600517472 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 10600517472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14599751040).

10600517472 is an abundant number, since it is smaller than the sum of its proper divisors (18598984608).

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

10600517472 is a wasteful number, since it uses less digits than its factorization.

10600517472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27036 (or 27028 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 10600517472 in words is "ten billion, six hundred million, five hundred seventeen thousand, four hundred seventy-two".