20630557434816 has 2016 divisors, whose sum is σ = 79700492132352. Its totient is φ = 5249718190080.

The previous prime is 20630557434803. The next prime is 20630557434853. The reversal of 20630557434816 is 61843475503602.

20630557434816 is a `hidden beast` number, since 2 + 0 + 6 + 3 + 0 + 557 + 4 + 3 + 4 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18875166366 + ... + 18875167458.

It is an arithmetic number, because the mean of its divisors is an integer number (39533974272).

Almost surely, 2^{20630557434816} 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 20630557434816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39850246066176).

20630557434816 is an abundant number, since it is smaller than the sum of its proper divisors (59069934697536).

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

20630557434816 is a wasteful number, since it uses less digits than its factorization.

20630557434816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 20630557434816 in words is "twenty trillion, six hundred thirty billion, five hundred fifty-seven million, four hundred thirty-four thousand, eight hundred sixteen".