5960485440 has 1260 divisors, whose sum is σ = 28032911676. Its totient is φ = 1191407616.

The previous prime is 5960485439. The next prime is 5960485469. The reversal of 5960485440 is 445840695.

5960485440 is a `hidden beast` number, since 5 + 9 + 60 + 48 + 544 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1467196416 + 4493289024 = 38304^2 + 67032^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 313709751 + ... + 313709769.

Almost surely, 2^5960485440 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 5960485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14016455838).

5960485440 is an abundant number, since it is smaller than the sum of its proper divisors (22072426236).

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

5960485440 is a wasteful number, since it uses less digits than its factorization.

5960485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 5960485440 is about 77204.1801977069. The cubic root of 5960485440 is about 1813.1227636593.

The spelling of 5960485440 in words is "five billion, nine hundred sixty million, four hundred eighty-five thousand, four hundred forty".