129766188784960 has 1344 divisors, whose sum is σ = 400495393267200. Its totient is φ = 39677580214272.

The previous prime is 129766188784949. The next prime is 129766188784979. The reversal of 129766188784960 is 69487881667921.

It is a super-2 number, since 2×129766188784960² (a number of 29 digits) contains 22 as substring.

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, 309704507631 + ... + 309704508049.

It is an arithmetic number, because the mean of its divisors is an integer number (297987643800).

Almost surely, 2^{129766188784960} is an apocalyptic number.

129766188784960 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 129766188784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200247696633600).

129766188784960 is an abundant number, since it is smaller than the sum of its proper divisors (270729204482240).

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

129766188784960 is a wasteful number, since it uses less digits than its factorization.

129766188784960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 3511517184, while the sum is 82.

The spelling of 129766188784960 in words is "one hundred twenty-nine trillion, seven hundred sixty-six billion, one hundred eighty-eight million, seven hundred eighty-four thousand, nine hundred sixty".