55729360344100 has 81 divisors (see below), whose sum is σ = 128467778681977. Its totient is φ = 20979987297280.

The previous prime is 55729360344089. The next prime is 55729360344127. The reversal of 55729360344100 is 144306392755.

The square root of 55729360344100 is 7465210.

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 6480517210596 + 49248843133504 = 2545686^2 + 7017752^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1269063744 + ... + 1269107656.

Almost surely, 2^{55729360344100} is an apocalyptic number.

55729360344100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55729360344100 is the 7465210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55729360344100

55729360344100 is an abundant number, since it is smaller than the sum of its proper divisors (72738418337877).

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

55729360344100 is an frugal number, since it uses more digits than its factorization.

55729360344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87874 (or 43937 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 49.

The spelling of 55729360344100 in words is "fifty-five trillion, seven hundred twenty-nine billion, three hundred sixty million, three hundred forty-four thousand, one hundred".