7168129096128 has 448 divisors, whose sum is σ = 26006231236608. Its totient is φ = 1682063585280.

The previous prime is 7168129096127. The next prime is 7168129096171. The reversal of 7168129096128 is 8216909218617.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7168129096127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8636251 + ... + 9429797.

It is an arithmetic number, because the mean of its divisors is an integer number (58049623296).

Almost surely, 2^{7168129096128} is an apocalyptic number.

7168129096128 is a gapful number since it is divisible by the number (78) 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 7168129096128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13003115618304).

7168129096128 is an abundant number, since it is smaller than the sum of its proper divisors (18838102140480).

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

7168129096128 is a wasteful number, since it uses less digits than its factorization.

7168129096128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793640 (or 793630 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 60.

The spelling of 7168129096128 in words is "seven trillion, one hundred sixty-eight billion, one hundred twenty-nine million, ninety-six thousand, one hundred twenty-eight".