20129458456320 has 288 divisors, whose sum is σ = 64451195424000. Its totient is φ = 5354285432832.

The previous prime is 20129458456253. The next prime is 20129458456357. The reversal of 20129458456320 is 2365485492102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2917732231 + ... + 2917739129.

It is an arithmetic number, because the mean of its divisors is an integer number (223788873000).

Almost surely, 2^{20129458456320} is an apocalyptic number.

20129458456320 is a gapful number since it is divisible by the number (20) 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 20129458456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32225597712000).

20129458456320 is an abundant number, since it is smaller than the sum of its proper divisors (44321736967680).

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

20129458456320 is a wasteful number, since it uses less digits than its factorization.

20129458456320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8735 (or 8721 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 20129458456320 in words is "twenty trillion, one hundred twenty-nine billion, four hundred fifty-eight million, four hundred fifty-six thousand, three hundred twenty".