55693533096100 has 243 divisors, whose sum is σ = 128423473106691. Its totient is φ = 20962734777600.

The previous prime is 55693533096073. The next prime is 55693533096109. The reversal of 55693533096100 is 169033539655.

The square root of 55693533096100 is 7462810.

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 3878528482404 + 51815004613696 = 1969398^2 + 7198264^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55693533096109) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 121867687072 + ... + 121867687528.

Almost surely, 2^{55693533096100} is an apocalyptic number.

55693533096100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55693533096100 is the 7462810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55693533096100

55693533096100 is an abundant number, since it is smaller than the sum of its proper divisors (72729940010591).

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

55693533096100 is an equidigital number, since it uses as much as digits as its factorization.

55693533096100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 9841500, while the sum is 55.

The spelling of 55693533096100 in words is "fifty-five trillion, six hundred ninety-three billion, five hundred thirty-three million, ninety-six thousand, one hundred".