129900400551936 has 1152 divisors, whose sum is σ = 465242660064000. Its totient is φ = 35076855693312.

The previous prime is 129900400551907. The next prime is 129900400552019. The reversal of 129900400551936 is 639155004009921.

129900400551936 is a `hidden beast` number, since 1 + 2 + 9 + 90 + 0 + 4 + 0 + 0 + 5 + 519 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×129900400551936² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77831275710 + ... + 77831277378.

It is an arithmetic number, because the mean of its divisors is an integer number (403856475750).

Almost surely, 2^{129900400551936} is an apocalyptic number.

129900400551936 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 129900400551936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232621330032000).

129900400551936 is an abundant number, since it is smaller than the sum of its proper divisors (335342259512064).

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

129900400551936 is a wasteful number, since it uses less digits than its factorization.

129900400551936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 129900400551936 in words is "one hundred twenty-nine trillion, nine hundred billion, four hundred million, five hundred fifty-one thousand, nine hundred thirty-six".