2055696412900 has 243 divisors, whose sum is σ = 4969562131443. Its totient is φ = 737760691200.

The previous prime is 2055696412831. The next prime is 2055696412901. The reversal of 2055696412900 is 92146965502.

The square root of 2055696412900 is 1433770.

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

It can be written as a sum of positive squares in 40 ways, for example, as 5507717796 + 2050188695104 = 74214^2 + 1431848^2 .

It is not an unprimeable number, because it can be changed into a prime (2055696412901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7641993966 + ... + 7641994234.

Almost surely, 2^{2055696412900} is an apocalyptic number.

2055696412900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2055696412900 is the 1433770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2055696412900

2055696412900 is an abundant number, since it is smaller than the sum of its proper divisors (2913865718543).

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

2055696412900 is a wasteful number, since it uses less digits than its factorization.

2055696412900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

Multiplying 2055696412900 by its sum of digits (49), we get a square (100729124232100 = 10036390²).

The spelling of 2055696412900 in words is "two trillion, fifty-five billion, six hundred ninety-six million, four hundred twelve thousand, nine hundred".