10160045460 has 120 divisors (see below), whose sum is σ = 32550819840. Its totient is φ = 2651679936.

The previous prime is 10160045459. The next prime is 10160045473. The reversal of 10160045460 is 6454006101.

10160045460 is a `hidden beast` number, since 1 + 0 + 1 + 600 + 4 + 54 + 6 + 0 = 666.

It is a super-2 number, since 2×10160045460² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9421 + ... + 142859.

It is an arithmetic number, because the mean of its divisors is an integer number (271256832).

Almost surely, 2^10160045460 is an apocalyptic number.

10160045460 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 10160045460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16275409920).

10160045460 is an abundant number, since it is smaller than the sum of its proper divisors (22390774380).

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

10160045460 is a wasteful number, since it uses less digits than its factorization.

10160045460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133507 (or 133496 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10160045460 in words is "ten billion, one hundred sixty million, forty-five thousand, four hundred sixty".