10587320960 has 64 divisors (see below), whose sum is σ = 25561067400. Its totient is φ = 4192972800.

The previous prime is 10587320921. The next prime is 10587320963. The reversal of 10587320960 is 6902378501.

It can be written as a sum of positive squares in 4 ways, for example, as 9113375296 + 1473945664 = 95464^2 + 38392^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10587320960² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10587320963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17255 + ... + 146534.

Almost surely, 2^10587320960 is an apocalyptic number.

10587320960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10587320960 is an abundant number, since it is smaller than the sum of its proper divisors (14973746440).

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

10587320960 is a wasteful number, since it uses less digits than its factorization.

10587320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163909 (or 163897 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 10587320960 in words is "ten billion, five hundred eighty-seven million, three hundred twenty thousand, nine hundred sixty".