20134317588480 has 680 divisors, whose sum is σ = 72442678509432. Its totient is φ = 5349977358336.

The previous prime is 20134317588439. The next prime is 20134317588487. The reversal of 20134317588480 is 8488571343102.

20134317588480 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 4 + 3 + 17 + 588 + 48 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1452005720064 + 18682311868416 = 1204992^2 + 4322304^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20134317588487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8413838164 + ... + 8413840556.

Almost surely, 2^{20134317588480} is an apocalyptic number.

20134317588480 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 20134317588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36221339254716).

20134317588480 is an abundant number, since it is smaller than the sum of its proper divisors (52308360920952).

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

20134317588480 is an frugal number, since it uses more digits than its factorization.

20134317588480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 20134317588480 in words is "twenty trillion, one hundred thirty-four billion, three hundred seventeen million, five hundred eighty-eight thousand, four hundred eighty".