20205557251000 has 128 divisors (see below), whose sum is σ = 51665402880000. Its totient is φ = 7335206736000.

The previous prime is 20205557250943. The next prime is 20205557251001. The reversal of 20205557251000 is 15275550202.

It is a super-3 number, since 3×20205557251000³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20205557251001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5055721 + ... + 8122279.

It is an arithmetic number, because the mean of its divisors is an integer number (403635960000).

Almost surely, 2^{20205557251000} is an apocalyptic number.

20205557251000 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 20205557251000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25832701440000).

20205557251000 is an abundant number, since it is smaller than the sum of its proper divisors (31459845629000).

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

20205557251000 is a wasteful number, since it uses less digits than its factorization.

20205557251000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067190 (or 3067176 counting only the distinct ones).

The product of its (nonzero) digits is 35000, while the sum is 34.

The spelling of 20205557251000 in words is "twenty trillion, two hundred five billion, five hundred fifty-seven million, two hundred fifty-one thousand".