129197170851840 has 7680 divisors, whose sum is σ = 656079629990400. Its totient is φ = 23971957309440.

The previous prime is 129197170851817. The next prime is 129197170851883. The reversal of 129197170851840 is 48158071791921.

129197170851840 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 9 + 7 + 1 + 70 + 8 + 518 + 40 = 666.

129197170851840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a super-2 number, since 2×129197170851840² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4167650672625 + ... + 4167650672655.

It is an arithmetic number, because the mean of its divisors is an integer number (85427035155).

Almost surely, 2^{129197170851840} is an apocalyptic number.

129197170851840 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 129197170851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328039814995200).

129197170851840 is an abundant number, since it is smaller than the sum of its proper divisors (526882459138560).

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

129197170851840 is a wasteful number, since it uses less digits than its factorization.

129197170851840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 63.

The spelling of 129197170851840 in words is "one hundred twenty-nine trillion, one hundred ninety-seven billion, one hundred seventy million, eight hundred fifty-one thousand, eight hundred forty".