20057351321700 has 864 divisors, whose sum is σ = 79224579802368. Its totient is φ = 4123187712000.

The previous prime is 20057351321687. The next prime is 20057351321701. The reversal of 20057351321700 is 712315375002.

It is a happy number.

20057351321700 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 73 + 513 + 2 + 1 + 70 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20057351321701) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2471026042 + ... + 2471034158.

It is an arithmetic number, because the mean of its divisors is an integer number (91695115512).

Almost surely, 2^{20057351321700} is an apocalyptic number.

20057351321700 is a gapful number since it is divisible by the number (20) 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 20057351321700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39612289901184).

20057351321700 is an abundant number, since it is smaller than the sum of its proper divisors (59167228480668).

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

20057351321700 is a wasteful number, since it uses less digits than its factorization.

20057351321700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8533 (or 8523 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

Adding to 20057351321700 its reverse (712315375002), we get a palindrome (20769666696702).

The spelling of 20057351321700 in words is "twenty trillion, fifty-seven billion, three hundred fifty-one million, three hundred twenty-one thousand, seven hundred".