10461531060 has 180 divisors, whose sum is σ = 34399975428. Its totient is φ = 2564577792.

The previous prime is 10461531029. The next prime is 10461531083. The reversal of 10461531060 is 6013516401.

10461531060 is a `hidden beast` number, since 10 + 4 + 61 + 531 + 0 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6030764964 + 4430766096 = 77658^2 + 66564^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 243291399 + ... + 243291441.

Almost surely, 2^10461531060 is an apocalyptic number.

10461531060 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 10461531060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17199987714).

10461531060 is an abundant number, since it is smaller than the sum of its proper divisors (23938444368).

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

10461531060 is an frugal number, since it uses more digits than its factorization.

10461531060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10461531060 in words is "ten billion, four hundred sixty-one million, five hundred thirty-one thousand, sixty".