129987680256 has 960 divisors, whose sum is σ = 481002762240. Its totient is φ = 34159656960.

The previous prime is 129987680153. The next prime is 129987680257. The reversal of 129987680256 is 652086789921.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 129987680193 and 129987680202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129987680257) 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, 827946930 + ... + 827947086.

It is an arithmetic number, because the mean of its divisors is an integer number (501044544).

Almost surely, 2^129987680256 is an apocalyptic number.

129987680256 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 129987680256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240501381120).

129987680256 is an abundant number, since it is smaller than the sum of its proper divisors (351015081984).

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

129987680256 is a wasteful number, since it uses less digits than its factorization.

129987680256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 129987680256 in words is "one hundred twenty-nine billion, nine hundred eighty-seven million, six hundred eighty thousand, two hundred fifty-six".