5975106600960 has 3600 divisors, whose sum is σ = 28117269379584. Its totient is φ = 1203354206208.

The previous prime is 5975106600959. The next prime is 5975106601033. The reversal of 5975106600960 is 690066015795.

5975106600960 is a `hidden beast` number, since 5 + 9 + 7 + 510 + 6 + 60 + 0 + 9 + 60 = 666.

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 = 5975106600897 and 5975106600906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 127129927657 + ... + 127129927703.

Almost surely, 2^{5975106600960} 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 5975106600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14058634689792).

5975106600960 is an abundant number, since it is smaller than the sum of its proper divisors (22142162778624).

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

5975106600960 is a wasteful number, since it uses less digits than its factorization.

5975106600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 5975106600960 in words is "five trillion, nine hundred seventy-five billion, one hundred six million, six hundred thousand, nine hundred sixty".