10642661160 has 64 divisors (see below), whose sum is σ = 31962686400. Its totient is φ = 2834958336.

The previous prime is 10642661143. The next prime is 10642661179. The reversal of 10642661160 is 6116624601.

It is a happy number.

10642661160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10642661160² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63747 + ... + 159213.

It is an arithmetic number, because the mean of its divisors is an integer number (499416975).

Almost surely, 2^10642661160 is an apocalyptic number.

10642661160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10642661160 is an abundant number, since it is smaller than the sum of its proper divisors (21320025240).

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

10642661160 is a wasteful number, since it uses less digits than its factorization.

10642661160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96410 (or 96406 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 10642661160 in words is "ten billion, six hundred forty-two million, six hundred sixty-one thousand, one hundred sixty".