2055610387600 has 945 divisors, whose sum is σ = 6683970226521. Its totient is φ = 606988166400.

The previous prime is 2055610387583. The next prime is 2055610387601. The reversal of 2055610387600 is 67830165502.

The square root of 2055610387600 is 1433740.

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

It can be written as a sum of positive squares in only one way, i.e., 740019739536 + 1315590648064 = 860244^2 + 1146992^2 .

It is not an unprimeable number, because it can be changed into a prime (2055610387601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 108190020391 + ... + 108190020409.

Almost surely, 2^{2055610387600} is an apocalyptic number.

2055610387600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2055610387600 is the 1433740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2055610387600

2055610387600 is an abundant number, since it is smaller than the sum of its proper divisors (4628359838921).

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

2055610387600 is an frugal number, since it uses more digits than its factorization.

2055610387600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 2055610387600 in words is "two trillion, fifty-five billion, six hundred ten million, three hundred eighty-seven thousand, six hundred".