5360961957120 has 5184 divisors, whose sum is σ = 27445742956800. Its totient is φ = 993257717760.

The previous prime is 5360961957107. The next prime is 5360961957151. The reversal of 5360961957120 is 217591690635.

5360961957120 is a `hidden beast` number, since 5 + 3 + 6 + 0 + 9 + 61 + 9 + 571 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 282155892471 + ... + 282155892489.

It is an arithmetic number, because the mean of its divisors is an integer number (5294317700).

Almost surely, 2^{5360961957120} 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 5360961957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13722871478400).

5360961957120 is an abundant number, since it is smaller than the sum of its proper divisors (22084780999680).

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

5360961957120 is a wasteful number, since it uses less digits than its factorization.

5360961957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 64 counting only the distinct ones).

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

The spelling of 5360961957120 in words is "five trillion, three hundred sixty billion, nine hundred sixty-one million, nine hundred fifty-seven thousand, one hundred twenty".