4965521515776 has 576 divisors, whose sum is σ = 15752686118400. Its totient is φ = 1537391591424.

The previous prime is 4965521515771. The next prime is 4965521515811. The reversal of 4965521515776 is 6775151255694.

4965521515776 is a `hidden beast` number, since 4 + 9 + 6 + 5 + 5 + 2 + 1 + 51 + 577 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4965521515771) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4060115101 + ... + 4060116323.

It is an arithmetic number, because the mean of its divisors is an integer number (27348413400).

Almost surely, 2^{4965521515776} 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 4965521515776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7876343059200).

4965521515776 is an abundant number, since it is smaller than the sum of its proper divisors (10787164602624).

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

4965521515776 is a wasteful number, since it uses less digits than its factorization.

4965521515776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1671 counting only the distinct ones).

The product of its digits is 79380000, while the sum is 63.

The spelling of 4965521515776 in words is "four trillion, nine hundred sixty-five billion, five hundred twenty-one million, five hundred fifteen thousand, seven hundred seventy-six".