5126651502768 has 320 divisors, whose sum is σ = 15559004160000. Its totient is φ = 1613998275840.

The previous prime is 5126651502767. The next prime is 5126651502809. The reversal of 5126651502768 is 8672051566215.

5126651502768 is a `hidden beast` number, since 5 + 1 + 2 + 6 + 65 + 1 + 502 + 76 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5126651502767) 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, 109804453 + ... + 109851131.

It is an arithmetic number, because the mean of its divisors is an integer number (48621888000).

Almost surely, 2^{5126651502768} 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 5126651502768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7779502080000).

5126651502768 is an abundant number, since it is smaller than the sum of its proper divisors (10432352657232).

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

5126651502768 is a wasteful number, since it uses less digits than its factorization.

5126651502768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46925 (or 46913 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 5126651502768 in words is "five trillion, one hundred twenty-six billion, six hundred fifty-one million, five hundred two thousand, seven hundred sixty-eight".