5105460960 has 144 divisors (see below), whose sum is σ = 17560198656. Its totient is φ = 1350687744.

The previous prime is 5105460953. The next prime is 5105460973. The reversal of 5105460960 is 690645015.

5105460960 is a `hidden beast` number, since 5 + 105 + 460 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×5105460960² = 52131463228168243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168922 + ... + 196838.

It is an arithmetic number, because the mean of its divisors is an integer number (121945824).

Almost surely, 2^5105460960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5105460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8780099328).

5105460960 is an abundant number, since it is smaller than the sum of its proper divisors (12454737696).

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

5105460960 is a wasteful number, since it uses less digits than its factorization.

5105460960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28065 (or 28054 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5105460960 is about 71452.5084234277. The cubic root of 5105460960 is about 1721.9147776380.

The spelling of 5105460960 in words is "five billion, one hundred five million, four hundred sixty thousand, nine hundred sixty".