55449028825344 has 4032 divisors, whose sum is σ = 231630658560000. Its totient is φ = 12807004815360.

The previous prime is 55449028825343. The next prime is 55449028825397. The reversal of 55449028825344 is 44352882094455.

It is a happy number.

55449028825344 is a `hidden beast` number, since 5 + 5 + 4 + 4 + 9 + 0 + 288 + 2 + 5 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (55449028825343) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 372141132982 + ... + 372141133130.

It is an arithmetic number, because the mean of its divisors is an integer number (57448080000).

Almost surely, 2^{55449028825344} is an apocalyptic number.

55449028825344 is a gapful number since it is divisible by the number (54) 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 55449028825344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115815329280000).

55449028825344 is an abundant number, since it is smaller than the sum of its proper divisors (176181629734656).

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

55449028825344 is a wasteful number, since it uses less digits than its factorization.

55449028825344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 221184000, while the sum is 63.

The spelling of 55449028825344 in words is "fifty-five trillion, four hundred forty-nine billion, twenty-eight million, eight hundred twenty-five thousand, three hundred forty-four".