129971065056 has 768 divisors, whose sum is σ = 458691932160. Its totient is φ = 31337349120.

The previous prime is 129971064991. The next prime is 129971065069. The reversal of 129971065056 is 650560179921.

It is a super-3 number, since 3×129971065056³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 281932666 + ... + 281933126.

It is an arithmetic number, because the mean of its divisors is an integer number (597255120).

Almost surely, 2^129971065056 is an apocalyptic number.

129971065056 is a gapful number since it is divisible by the number (16) 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 129971065056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229345966080).

129971065056 is an abundant number, since it is smaller than the sum of its proper divisors (328720867104).

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

129971065056 is a wasteful number, since it uses less digits than its factorization.

129971065056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 51.

The spelling of 129971065056 in words is "one hundred twenty-nine billion, nine hundred seventy-one million, sixty-five thousand, fifty-six".