129087515082240 has 2560 divisors, whose sum is σ = 549990978324480. Its totient is φ = 28285363814400.

The previous prime is 129087515082221. The next prime is 129087515082247. The reversal of 129087515082240 is 42280515780921.

It is a happy number.

129087515082240 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 8 + 7 + 515 + 0 + 82 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-3 number, since 3×129087515082240³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129087515082247) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 209218014412 + ... + 209218015028.

It is an arithmetic number, because the mean of its divisors is an integer number (214840225908).

Almost surely, 2^{129087515082240} is an apocalyptic number.

129087515082240 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 129087515082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274995489162240).

129087515082240 is an abundant number, since it is smaller than the sum of its proper divisors (420903463242240).

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

129087515082240 is a wasteful number, since it uses less digits than its factorization.

129087515082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 129087515082240 in words is "one hundred twenty-nine trillion, eighty-seven billion, five hundred fifteen million, eighty-two thousand, two hundred forty".