129128516496 has 560 divisors, whose sum is σ = 468710857728. Its totient is φ = 33592320000.

The previous prime is 129128516483. The next prime is 129128516507. The reversal of 129128516496 is 694615821921.

129128516496 is a `hidden beast` number, since 1 + 29 + 12 + 8 + 516 + 4 + 96 = 666.

It is a super-3 number, since 3×129128516496³ (a number of 34 digits) contains 333 as substring.

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 111 ways as a sum of consecutive naturals, for example, 43026996 + ... + 43029996.

Almost surely, 2^129128516496 is an apocalyptic number.

129128516496 is a gapful number since it is divisible by the number (16) 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 129128516496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234355428864).

129128516496 is an abundant number, since it is smaller than the sum of its proper divisors (339582341232).

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

129128516496 is a wasteful number, since it uses less digits than its factorization.

129128516496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 3061 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The spelling of 129128516496 in words is "one hundred twenty-nine billion, one hundred twenty-eight million, five hundred sixteen thousand, four hundred ninety-six".