20512549040256 has 3840 divisors, whose sum is σ = 85862405376000. Its totient is φ = 4734528454656.

The previous prime is 20512549040239. The next prime is 20512549040267. The reversal of 20512549040256 is 65204094521502.

20512549040256 is a `hidden beast` number, since 2 + 0 + 5 + 12 + 549 + 0 + 40 + 2 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 230478079060 + ... + 230478079148.

It is an arithmetic number, because the mean of its divisors is an integer number (22360001400).

Almost surely, 2^{20512549040256} is an apocalyptic number.

20512549040256 is a gapful number since it is divisible by the number (26) 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 20512549040256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42931202688000).

20512549040256 is an abundant number, since it is smaller than the sum of its proper divisors (65349856335744).

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

20512549040256 is a wasteful number, since it uses less digits than its factorization.

20512549040256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 20512549040256 in words is "twenty trillion, five hundred twelve billion, five hundred forty-nine million, forty thousand, two hundred fifty-six".