20129394293052 has 192 divisors, whose sum is σ = 54451363760640. Its totient is φ = 5728883328000.

The previous prime is 20129394293027. The next prime is 20129394293053. The reversal of 20129394293052 is 25039249392102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20129394292986 and 20129394293004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20129394293053) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 658733758 + ... + 658764314.

It is an arithmetic number, because the mean of its divisors is an integer number (283600852920).

Almost surely, 2^{20129394293052} is an apocalyptic number.

20129394293052 is a gapful number since it is divisible by the number (22) 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 20129394293052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27225681880320).

20129394293052 is an abundant number, since it is smaller than the sum of its proper divisors (34321969467588).

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

20129394293052 is a wasteful number, since it uses less digits than its factorization.

20129394293052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35292 (or 35290 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 51.

The spelling of 20129394293052 in words is "twenty trillion, one hundred twenty-nine billion, three hundred ninety-four million, two hundred ninety-three thousand, fifty-two".