20557803032064 has 240 divisors, whose sum is σ = 60901285693248. Its totient is φ = 6672742465536.

The previous prime is 20557803032057. The next prime is 20557803032069. The reversal of 20557803032064 is 46023030875502.

20557803032064 is a `hidden beast` number, since 2 + 0 + 557 + 8 + 0 + 3 + 0 + 32 + 0 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20557803032069) by changing a digit.

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, 42424554 + ... + 42906390.

Almost surely, 2^{20557803032064} is an apocalyptic number.

20557803032064 is a gapful number since it is divisible by the number (24) 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 20557803032064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30450642846624).

20557803032064 is an abundant number, since it is smaller than the sum of its proper divisors (40343482661184).

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

20557803032064 is a wasteful number, since it uses less digits than its factorization.

20557803032064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482105 (or 482086 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 20557803032064 in words is "twenty trillion, five hundred fifty-seven billion, eight hundred three million, thirty-two thousand, sixty-four".