20054914509312 has 240 divisors, whose sum is σ = 60123635924352. Its totient is φ = 6673823539200.

The previous prime is 20054914509281. The next prime is 20054914509341. The reversal of 20054914509312 is 21390541945002.

It is a happy number.

20054914509312 is a `hidden beast` number, since 2 + 0 + 0 + 54 + 91 + 4 + 509 + 3 + 1 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74639913 + ... + 74908119.

Almost surely, 2^{20054914509312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20054914509312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30061817962176).

20054914509312 is an abundant number, since it is smaller than the sum of its proper divisors (40068721415040).

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

20054914509312 is an frugal number, since it uses more digits than its factorization.

20054914509312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268841 (or 268813 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 20054914509312 in words is "twenty trillion, fifty-four billion, nine hundred fourteen million, five hundred nine thousand, three hundred twelve".