129163256893440 has 2496 divisors, whose sum is σ = 577032228864000. Its totient is φ = 26488111104000.

The previous prime is 129163256893427. The next prime is 129163256893441. The reversal of 129163256893440 is 44398652361921.

It is a happy number.

129163256893440 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 6 + 32 + 568 + 9 + 34 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (129163256893441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54939708265 + ... + 54939710615.

It is an arithmetic number, because the mean of its divisors is an integer number (231182784000).

Almost surely, 2^{129163256893440} is an apocalyptic number.

129163256893440 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 129163256893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288516114432000).

129163256893440 is an abundant number, since it is smaller than the sum of its proper divisors (447868971970560).

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

129163256893440 is a wasteful number, since it uses less digits than its factorization.

129163256893440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 129163256893440 in words is "one hundred twenty-nine trillion, one hundred sixty-three billion, two hundred fifty-six million, eight hundred ninety-three thousand, four hundred forty".