55561241634400 has 144 divisors (see below), whose sum is σ = 137676377429136. Its totient is φ = 21890714757120.

The previous prime is 55561241634397. The next prime is 55561241634401. The reversal of 55561241634400 is 443614216555.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55561241634401) 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, 645140142 + ... + 645226258.

It is an arithmetic number, because the mean of its divisors is an integer number (956085954369).

Almost surely, 2^{55561241634400} is an apocalyptic number.

55561241634400 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 55561241634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68838188714568).

55561241634400 is an abundant number, since it is smaller than the sum of its proper divisors (82115135794736).

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

55561241634400 is a wasteful number, since it uses less digits than its factorization.

55561241634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98241 (or 98228 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 46.

The spelling of 55561241634400 in words is "fifty-five trillion, five hundred sixty-one billion, two hundred forty-one million, six hundred thirty-four thousand, four hundred".