20510479245312 has 3136 divisors, whose sum is σ = 82513700352000. Its totient is φ = 5056584744960.

The previous prime is 20510479245307. The next prime is 20510479245323. The reversal of 20510479245312 is 21354297401502.

20510479245312 is a `hidden beast` number, since 2 + 0 + 5 + 104 + 7 + 9 + 2 + 4 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3136).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 661628362737 + ... + 661628362767.

Almost surely, 2^{20510479245312} 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 20510479245312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41256850176000).

20510479245312 is an abundant number, since it is smaller than the sum of its proper divisors (62003221106688).

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

20510479245312 is an frugal number, since it uses more digits than its factorization.

20510479245312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 20510479245312 in words is "twenty trillion, five hundred ten billion, four hundred seventy-nine million, two hundred forty-five thousand, three hundred twelve".