129366966572064 has 288 divisors, whose sum is σ = 396729441972864. Its totient is φ = 39750684180480.

The previous prime is 129366966572017. The next prime is 129366966572083. The reversal of 129366966572064 is 460275669663921.

129366966572064 is a `hidden beast` number, since 1 + 2 + 9 + 366 + 9 + 6 + 6 + 57 + 206 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 129366966571983 and 129366966572001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18151668469 + ... + 18151675595.

It is an arithmetic number, because the mean of its divisors is an integer number (1377532784628).

Almost surely, 2^{129366966572064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129366966572064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198364720986432).

129366966572064 is an abundant number, since it is smaller than the sum of its proper divisors (267362475400800).

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

129366966572064 is a wasteful number, since it uses less digits than its factorization.

129366966572064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13120 (or 13109 counting only the distinct ones).

The product of its (nonzero) digits is 1058158080, while the sum is 72.

The spelling of 129366966572064 in words is "one hundred twenty-nine trillion, three hundred sixty-six billion, nine hundred sixty-six million, five hundred seventy-two thousand, sixty-four".