2121858355600 has 135 divisors (see below), whose sum is σ = 5139609906729. Its totient is φ = 841832947200.

The previous prime is 2121858355571. The next prime is 2121858355619. The reversal of 2121858355600 is 65538581212.

The square root of 2121858355600 is 1456660.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1789141657744 + 332716697856 = 1337588^2 + 576816^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 5040043390 + ... + 5040043810.

Almost surely, 2^{2121858355600} is an apocalyptic number.

2121858355600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2121858355600 is the 1456660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121858355600

2121858355600 is an abundant number, since it is smaller than the sum of its proper divisors (3017751551129).

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

2121858355600 is an frugal number, since it uses more digits than its factorization.

2121858355600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 46.

The spelling of 2121858355600 in words is "two trillion, one hundred twenty-one billion, eight hundred fifty-eight million, three hundred fifty-five thousand, six hundred".