55034451410120 has 384 divisors, whose sum is σ = 155679352012800. Its totient is φ = 17141897290752.

The previous prime is 55034451410087. The next prime is 55034451410131. The reversal of 55034451410120 is 2101415443055.

It is a happy number.

55034451410120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1032921641 + ... + 1032974919.

It is an arithmetic number, because the mean of its divisors is an integer number (405414979200).

Almost surely, 2^{55034451410120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55034451410120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77839676006400).

55034451410120 is an abundant number, since it is smaller than the sum of its proper divisors (100644900602680).

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

55034451410120 is a wasteful number, since it uses less digits than its factorization.

55034451410120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53669 (or 53652 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 55034451410120 its reverse (2101415443055), we get a palindrome (57135866853175).

The spelling of 55034451410120 in words is "fifty-five trillion, thirty-four billion, four hundred fifty-one million, four hundred ten thousand, one hundred twenty".