5840106946560 has 672 divisors, whose sum is σ = 21124795386240. Its totient is φ = 1549208125440.

The previous prime is 5840106946543. The next prime is 5840106946577. The reversal of 5840106946560 is 656496010485.

5840106946560 is a `hidden beast` number, since 5 + 8 + 4 + 0 + 10 + 69 + 4 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (5840106946543) and next prime (5840106946577).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5840106946497 and 5840106946506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 30576476065 + ... + 30576476255.

It is an arithmetic number, because the mean of its divisors is an integer number (31435707420).

Almost surely, 2^{5840106946560} 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 5840106946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10562397693120).

5840106946560 is an abundant number, since it is smaller than the sum of its proper divisors (15284688439680).

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

5840106946560 is an frugal number, since it uses more digits than its factorization.

5840106946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 5840106946560 in words is "five trillion, eight hundred forty billion, one hundred six million, nine hundred forty-six thousand, five hundred sixty".