5026768516224 has 1536 divisors, whose sum is σ = 19467318528000. Its totient is φ = 1264146186240.

The previous prime is 5026768516111. The next prime is 5026768516249. The reversal of 5026768516224 is 4226158676205.

5026768516224 is a `hidden beast` number, since 5 + 0 + 2 + 6 + 7 + 6 + 8 + 5 + 1 + 622 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4981930632 + ... + 4981931640.

It is an arithmetic number, because the mean of its divisors is an integer number (12674035500).

Almost surely, 2^{5026768516224} is an apocalyptic number.

5026768516224 is a gapful number since it is divisible by the number (54) 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 5026768516224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9733659264000).

5026768516224 is an abundant number, since it is smaller than the sum of its proper divisors (14440550011776).

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

5026768516224 is a wasteful number, since it uses less digits than its factorization.

5026768516224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 5026768516224 in words is "five trillion, twenty-six billion, seven hundred sixty-eight million, five hundred sixteen thousand, two hundred twenty-four".