129810450631680 has 4224 divisors, whose sum is σ = 607682389708800. Its totient is φ = 25538577039360.

The previous prime is 129810450631643. The next prime is 129810450631711. The reversal of 129810450631680 is 86136054018921.

It is a happy number.

129810450631680 is a `hidden beast` number, since 1 + 2 + 9 + 81 + 0 + 450 + 6 + 31 + 6 + 80 = 666.

It is a super-2 number, since 2×129810450631680² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1458544389076 + ... + 1458544389164.

Almost surely, 2^{129810450631680} is an apocalyptic number.

129810450631680 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 129810450631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303841194854400).

129810450631680 is an abundant number, since it is smaller than the sum of its proper divisors (477871939077120).

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

129810450631680 is a wasteful number, since it uses less digits than its factorization.

129810450631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 129810450631680 in words is "one hundred twenty-nine trillion, eight hundred ten billion, four hundred fifty million, six hundred thirty-one thousand, six hundred eighty".