129767379406560 has 1152 divisors, whose sum is σ = 543207409920000. Its totient is φ = 28834865934336.

The previous prime is 129767379406547. The next prime is 129767379406591. The reversal of 129767379406560 is 65604973767921.

129767379406560 is a `hidden beast` number, since 1 + 2 + 97 + 6 + 7 + 3 + 79 + 406 + 5 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1482351271 + ... + 1482438809.

It is an arithmetic number, because the mean of its divisors is an integer number (471534210000).

Almost surely, 2^{129767379406560} is an apocalyptic number.

129767379406560 is a gapful number since it is divisible by the number (10) 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 129767379406560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271603704960000).

129767379406560 is an abundant number, since it is smaller than the sum of its proper divisors (413440030513440).

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

129767379406560 is a wasteful number, since it uses less digits than its factorization.

129767379406560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87773 (or 87752 counting only the distinct ones).

The product of its (nonzero) digits is 720135360, while the sum is 72.

The spelling of 129767379406560 in words is "one hundred twenty-nine trillion, seven hundred sixty-seven billion, three hundred seventy-nine million, four hundred six thousand, five hundred sixty".