5126256441792 has 448 divisors, whose sum is σ = 16400385792000. Its totient is φ = 1564132737024.

The previous prime is 5126256441791. The next prime is 5126256441811. The reversal of 5126256441792 is 2971446526215.

5126256441792 is a `hidden beast` number, since 5 + 1 + 2 + 6 + 2 + 564 + 4 + 1 + 79 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5126256441791) 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, 155470684 + ... + 155503652.

It is an arithmetic number, because the mean of its divisors is an integer number (36608004000).

Almost surely, 2^{5126256441792} 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 5126256441792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8200192896000).

5126256441792 is an abundant number, since it is smaller than the sum of its proper divisors (11274129350208).

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

5126256441792 is a wasteful number, since it uses less digits than its factorization.

5126256441792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33153 (or 33137 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 5126256441792 in words is "five trillion, one hundred twenty-six billion, two hundred fifty-six million, four hundred forty-one thousand, seven hundred ninety-two".