5246127077664 has 384 divisors, whose sum is σ = 16097719680000. Its totient is φ = 1479065702400.

The previous prime is 5246127077663. The next prime is 5246127077669. The reversal of 5246127077664 is 4667707216425.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (5246127077663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1833667594 + ... + 1833670454.

It is an arithmetic number, because the mean of its divisors is an integer number (41921145000).

Almost surely, 2^{5246127077664} 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 5246127077664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8048859840000).

5246127077664 is an abundant number, since it is smaller than the sum of its proper divisors (10851592602336).

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

5246127077664 is a wasteful number, since it uses less digits than its factorization.

5246127077664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512 (or 4504 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 57.

The spelling of 5246127077664 in words is "five trillion, two hundred forty-six billion, one hundred twenty-seven million, seventy-seven thousand, six hundred sixty-four".