55127834721300 has 288 divisors, whose sum is σ = 176415299948160. Its totient is φ = 13179143577600.

The previous prime is 55127834721299. The next prime is 55127834721319. The reversal of 55127834721300 is 312743872155.

It is a super-2 number, since 2×55127834721300² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55127834721300.

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 1929353814 + ... + 1929382386.

It is an arithmetic number, because the mean of its divisors is an integer number (612553124820).

Almost surely, 2^{55127834721300} is an apocalyptic number.

55127834721300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55127834721300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88207649974080).

55127834721300 is an abundant number, since it is smaller than the sum of its proper divisors (121287465226860).

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

55127834721300 is a wasteful number, since it uses less digits than its factorization.

55127834721300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36683 (or 36676 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 55127834721300 in words is "fifty-five trillion, one hundred twenty-seven billion, eight hundred thirty-four million, seven hundred twenty-one thousand, three hundred".