55125104110400 has 168 divisors, whose sum is σ = 138976333070400. Its totient is φ = 21508244992000.

The previous prime is 55125104110397. The next prime is 55125104110409. The reversal of 55125104110400 is 401140152155.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55125104110409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366694451 + ... + 366844749.

It is an arithmetic number, because the mean of its divisors is an integer number (827240077800).

Almost surely, 2^{55125104110400} is an apocalyptic number.

55125104110400 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 55125104110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69488166535200).

55125104110400 is an abundant number, since it is smaller than the sum of its proper divisors (83851228960000).

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

55125104110400 is a wasteful number, since it uses less digits than its factorization.

55125104110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155953 (or 155938 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 29.

Adding to 55125104110400 its reverse (401140152155), we get a palindrome (55526244262555).

The spelling of 55125104110400 in words is "fifty-five trillion, one hundred twenty-five billion, one hundred four million, one hundred ten thousand, four hundred".