10500046560 has 144 divisors (see below), whose sum is σ = 35923620096. Its totient is φ = 2792807424.

The previous prime is 10500046523. The next prime is 10500046561. The reversal of 10500046560 is 6564000501.

It is a happy number.

10500046560 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 0 + 0 + 4 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10500046560² (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 (10500046561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 562497 + ... + 580863.

It is an arithmetic number, because the mean of its divisors is an integer number (249469584).

Almost surely, 2^10500046560 is an apocalyptic number.

10500046560 is a gapful number since it is divisible by the number (10) 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 10500046560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17961810048).

10500046560 is an abundant number, since it is smaller than the sum of its proper divisors (25423573536).

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

10500046560 is a wasteful number, since it uses less digits than its factorization.

10500046560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18785 (or 18774 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 10500046560 in words is "ten billion, five hundred million, forty-six thousand, five hundred sixty".