129779505072000 has 3200 divisors, whose sum is σ = 567873523245600. Its totient is φ = 29371565260800.

The previous prime is 129779505071959. The next prime is 129779505072011. The reversal of 129779505072000 is 270505977921.

It is a happy number.

129779505072000 is a `hidden beast` number, since 1 + 29 + 7 + 7 + 95 + 0 + 507 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 556993583884 + ... + 556993584116.

Almost surely, 2^{129779505072000} is an apocalyptic number.

129779505072000 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 129779505072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283936761622800).

129779505072000 is an abundant number, since it is smaller than the sum of its proper divisors (438094018173600).

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

129779505072000 is an frugal number, since it uses more digits than its factorization.

129779505072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 2778300, while the sum is 54.

The spelling of 129779505072000 in words is "one hundred twenty-nine trillion, seven hundred seventy-nine billion, five hundred five million, seventy-two thousand".