8126516977488 has 240 divisors, whose sum is σ = 27996064387200. Its totient is φ = 2142895205376.

The previous prime is 8126516977391. The next prime is 8126516977571. The reversal of 8126516977488 is 8847796156218.

It is a happy number.

8126516977488 is a `hidden beast` number, since 8 + 1 + 2 + 6 + 51 + 6 + 97 + 7 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 82492870 + ... + 82591322.

It is an arithmetic number, because the mean of its divisors is an integer number (116650268280).

Almost surely, 2^{8126516977488} 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 8126516977488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13998032193600).

8126516977488 is an abundant number, since it is smaller than the sum of its proper divisors (19869547409712).

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

8126516977488 is a wasteful number, since it uses less digits than its factorization.

8126516977488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104786 (or 104777 counting only the distinct ones).

The product of its digits is 325140480, while the sum is 72.

The spelling of 8126516977488 in words is "eight trillion, one hundred twenty-six billion, five hundred sixteen million, nine hundred seventy-seven thousand, four hundred eighty-eight".