8129998356480 has 4032 divisors, whose sum is σ = 41589284744448. Its totient is φ = 1467670855680.

The previous prime is 8129998356437. The next prime is 8129998356541. The reversal of 8129998356480 is 846538999218.

8129998356480 is a `hidden beast` number, since 8 + 1 + 2 + 9 + 9 + 98 + 3 + 56 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is a junction number, because it is equal to n+sod(n) for n = 8129998356399 and 8129998356408.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 478235197432 + ... + 478235197448.

It is an arithmetic number, because the mean of its divisors is an integer number (10314802764).

Almost surely, 2^{8129998356480} is an apocalyptic number.

8129998356480 is a gapful number since it is divisible by the number (80) 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 8129998356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20794642372224).

8129998356480 is an abundant number, since it is smaller than the sum of its proper divisors (33459286387968).

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

8129998356480 is an equidigital number, since it uses as much as digits as its factorization.

8129998356480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 8129998356480 in words is "eight trillion, one hundred twenty-nine billion, nine hundred ninety-eight million, three hundred fifty-six thousand, four hundred eighty".