5965463702016 has 720 divisors, whose sum is σ = 21625299095400. Its totient is φ = 1569146535936.

The previous prime is 5965463701969. The next prime is 5965463702017. The reversal of 5965463702016 is 6102073645695.

5965463702016 is a `hidden beast` number, since 5 + 9 + 6 + 546 + 3 + 70 + 20 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4573781049600 + 1391682652416 = 2138640^2 + 1179696^2 .

It is not an unprimeable number, because it can be changed into a prime (5965463702017) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1200533580 + ... + 1200538548.

Almost surely, 2^{5965463702016} is an apocalyptic number.

5965463702016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5965463702016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10812649547700).

5965463702016 is an abundant number, since it is smaller than the sum of its proper divisors (15659835393384).

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

5965463702016 is a wasteful number, since it uses less digits than its factorization.

5965463702016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5429 (or 5403 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 5965463702016 in words is "five trillion, nine hundred sixty-five billion, four hundred sixty-three million, seven hundred two thousand, sixteen".