129436090560 has 1344 divisors, whose sum is σ = 575308293120. Its totient is φ = 26741145600.

The previous prime is 129436090549. The next prime is 129436090573. The reversal of 129436090560 is 65090634921.

129436090560 is a `hidden beast` number, since 1 + 29 + 4 + 3 + 60 + 9 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×129436090560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 988061695 + ... + 988061825.

Almost surely, 2^129436090560 is an apocalyptic number.

129436090560 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 129436090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287654146560).

129436090560 is an abundant number, since it is smaller than the sum of its proper divisors (445872202560).

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

129436090560 is a wasteful number, since it uses less digits than its factorization.

129436090560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 129436090560 in words is "one hundred twenty-nine billion, four hundred thirty-six million, ninety thousand, five hundred sixty".