20513554947072 has 704 divisors, whose sum is σ = 70404354240000. Its totient is φ = 5834851614720.

The previous prime is 20513554947049. The next prime is 20513554947163. The reversal of 20513554947072 is 27074945531502.

20513554947072 is a `hidden beast` number, since 2 + 0 + 5 + 13 + 5 + 5 + 494 + 70 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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

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 63 ways as a sum of consecutive naturals, for example, 629832804 + ... + 629865372.

It is an arithmetic number, because the mean of its divisors is an integer number (100006185000).

Almost surely, 2^{20513554947072} is an apocalyptic number.

20513554947072 is a gapful number since it is divisible by the number (22) 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 20513554947072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35202177120000).

20513554947072 is an abundant number, since it is smaller than the sum of its proper divisors (49890799292928).

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

20513554947072 is a wasteful number, since it uses less digits than its factorization.

20513554947072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32737 (or 32713 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 20513554947072 in words is "twenty trillion, five hundred thirteen billion, five hundred fifty-four million, nine hundred forty-seven thousand, seventy-two".