20162255257600 has 189 divisors, whose sum is σ = 50059449451767. Its totient is φ = 8055706091520.

The previous prime is 20162255257537. The next prime is 20162255257721. The reversal of 20162255257600 is 675255226102.

The square root of 20162255257600 is 4490240.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1097365192704 + 19064890064896 = 1047552^2 + 4366336^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22990028362 + ... + 22990029238.

Almost surely, 2^{20162255257600} is an apocalyptic number.

20162255257600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20162255257600 is the 4490240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20162255257600

20162255257600 is an abundant number, since it is smaller than the sum of its proper divisors (29897194194167).

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

20162255257600 is an frugal number, since it uses more digits than its factorization.

20162255257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 43.

The spelling of 20162255257600 in words is "twenty trillion, one hundred sixty-two billion, two hundred fifty-five million, two hundred fifty-seven thousand, six hundred".