10480142160 has 60 divisors (see below), whose sum is σ = 35195813172. Its totient is φ = 2794704384.

The previous prime is 10480142089. The next prime is 10480142161. The reversal of 10480142160 is 6124108401.

It is a happy number.

10480142160 is a `hidden beast` number, since 10 + 480 + 14 + 2 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2099105856 + 8381036304 = 45816^2 + 91548^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10480142161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7277157 + ... + 7278596.

Almost surely, 2^10480142160 is an apocalyptic number.

10480142160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10480142160 is an abundant number, since it is smaller than the sum of its proper divisors (24715671012).

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

10480142160 is a wasteful number, since it uses less digits than its factorization.

10480142160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14555772 (or 14555763 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 10480142160 in words is "ten billion, four hundred eighty million, one hundred forty-two thousand, one hundred sixty".