5121419756256 has 288 divisors, whose sum is σ = 15393052715040. Its totient is φ = 1610711764992.

The previous prime is 5121419756239. The next prime is 5121419756261. The reversal of 5121419756256 is 6526579141215.

5121419756256 is a `hidden beast` number, since 5 + 1 + 2 + 1 + 4 + 1 + 9 + 7 + 5 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5121419756256² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2067588490 + ... + 2067590966.

It is an arithmetic number, because the mean of its divisors is an integer number (53448099705).

Almost surely, 2^{5121419756256} 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 5121419756256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7696526357520).

5121419756256 is an abundant number, since it is smaller than the sum of its proper divisors (10271632958784).

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

5121419756256 is a wasteful number, since it uses less digits than its factorization.

5121419756256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898 (or 3887 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The spelling of 5121419756256 in words is "five trillion, one hundred twenty-one billion, four hundred nineteen million, seven hundred fifty-six thousand, two hundred fifty-six".