129820065984 has 560 divisors, whose sum is σ = 466409349120. Its totient is φ = 34913617920.

The previous prime is 129820065937. The next prime is 129820065989. The reversal of 129820065984 is 489560028921.

It is a happy number.

129820065984 is a `hidden beast` number, since 1 + 29 + 8 + 20 + 0 + 6 + 598 + 4 = 666.

It is a super-2 number, since 2×129820065984² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 129820065984.

It is not an unprimeable number, because it can be changed into a prime (129820065989) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41620777 + ... + 41623895.

Almost surely, 2^129820065984 is an apocalyptic number.

129820065984 is a gapful number since it is divisible by the number (14) 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 129820065984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233204674560).

129820065984 is an abundant number, since it is smaller than the sum of its proper divisors (336589283136).

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

129820065984 is a wasteful number, since it uses less digits than its factorization.

129820065984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 129820065984 in words is "one hundred twenty-nine billion, eight hundred twenty million, sixty-five thousand, nine hundred eighty-four".