129130578864 has 480 divisors, whose sum is σ = 468546201600. Its totient is φ = 33821867520.

The previous prime is 129130578859. The next prime is 129130578877. The reversal of 129130578864 is 468875031921.

129130578864 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 3 + 0 + 578 + 8 + 64 = 666.

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 129130578864.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12462774 + ... + 12473130.

It is an arithmetic number, because the mean of its divisors is an integer number (976137920).

It is a 1-persistent number, because it is pandigital, but 2⋅129130578864 = 258261157728 is not.

Almost surely, 2^129130578864 is an apocalyptic number.

129130578864 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 129130578864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234273100800).

129130578864 is an abundant number, since it is smaller than the sum of its proper divisors (339415622736).

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

129130578864 is a wasteful number, since it uses less digits than its factorization.

129130578864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10438 (or 10419 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 129130578864 in words is "one hundred twenty-nine billion, one hundred thirty million, five hundred seventy-eight thousand, eight hundred sixty-four".