129653805980160 has 1920 divisors, whose sum is σ = 585159731380224. Its totient is φ = 26727662223360.

The previous prime is 129653805980131. The next prime is 129653805980177. The reversal of 129653805980160 is 61089508356921.

129653805980160 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 5 + 38 + 0 + 598 + 0 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 6083309664 + ... + 6083330976.

Almost surely, 2^{129653805980160} is an apocalyptic number.

129653805980160 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 129653805980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292579865690112).

129653805980160 is an abundant number, since it is smaller than the sum of its proper divisors (455505925400064).

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

129653805980160 is a wasteful number, since it uses less digits than its factorization.

129653805980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21496 (or 21468 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 129653805980160 in words is "one hundred twenty-nine trillion, six hundred fifty-three billion, eight hundred five million, nine hundred eighty thousand, one hundred sixty".