10667505132 has 72 divisors (see below), whose sum is σ = 27689992512. Its totient is φ = 3460665600.

The previous prime is 10667505127. The next prime is 10667505143. The reversal of 10667505132 is 23150576601.

10667505132 is a `hidden beast` number, since 10 + 6 + 6 + 7 + 505 + 132 = 666.

It is a super-2 number, since 2×10667505132² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612813 + ... + 629979.

Almost surely, 2^10667505132 is an apocalyptic number.

10667505132 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 10667505132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13844996256).

10667505132 is an abundant number, since it is smaller than the sum of its proper divisors (17022487380).

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

10667505132 is a wasteful number, since it uses less digits than its factorization.

10667505132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17639 (or 17634 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 10667505132 in words is "ten billion, six hundred sixty-seven million, five hundred five thousand, one hundred thirty-two".