5946065781120 has 480 divisors, whose sum is σ = 22557093760080. Its totient is φ = 1492342161408.

The previous prime is 5946065781083. The next prime is 5946065781133. The reversal of 5946065781120 is 211875606495.

It is a happy number.

5946065781120 is a `hidden beast` number, since 5 + 9 + 4 + 60 + 6 + 578 + 1 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14783317 + ... + 15180203.

Almost surely, 2^{5946065781120} 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 5946065781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11278546880040).

5946065781120 is an abundant number, since it is smaller than the sum of its proper divisors (16611027978960).

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

5946065781120 is a wasteful number, since it uses less digits than its factorization.

5946065781120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396952 (or 396914 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 5946065781120 in words is "five trillion, nine hundred forty-six billion, sixty-five million, seven hundred eighty-one thousand, one hundred twenty".