10500510560 has 96 divisors (see below), whose sum is σ = 25475899680. Its totient is φ = 4087738368.

The previous prime is 10500510481. The next prime is 10500510599. The reversal of 10500510560 is 6501500501.

It is a super-2 number, since 2×10500510560² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2013236 + ... + 2018444.

It is an arithmetic number, because the mean of its divisors is an integer number (265373955).

Almost surely, 2^10500510560 is an apocalyptic number.

10500510560 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 10500510560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12737949840).

10500510560 is an abundant number, since it is smaller than the sum of its proper divisors (14975389120).

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

10500510560 is a wasteful number, since it uses less digits than its factorization.

10500510560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5560 (or 5552 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 10500510560 in words is "ten billion, five hundred million, five hundred ten thousand, five hundred sixty".