10120616460 has 144 divisors (see below), whose sum is σ = 32595859296. Its totient is φ = 2532980736.

The previous prime is 10120616453. The next prime is 10120616479. The reversal of 10120616460 is 6461602101.

10120616460 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 0 + 616 + 46 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1136947 + ... + 1145813.

It is an arithmetic number, because the mean of its divisors is an integer number (226360134).

Almost surely, 2^10120616460 is an apocalyptic number.

10120616460 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 10120616460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16297929648).

10120616460 is an abundant number, since it is smaller than the sum of its proper divisors (22475242836).

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

10120616460 is a wasteful number, since it uses less digits than its factorization.

10120616460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9272 (or 9267 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10120616460 in words is "ten billion, one hundred twenty million, six hundred sixteen thousand, four hundred sixty".