55648416450000 has 960 divisors, whose sum is σ = 201463468012800. Its totient is φ = 13118208000000.

The previous prime is 55648416449963. The next prime is 55648416450007. The reversal of 55648416450000 is 5461484655.

It is a super-3 number, since 3×55648416450000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55648416450007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23609848822 + ... + 23609851178.

It is an arithmetic number, because the mean of its divisors is an integer number (209857779180).

Almost surely, 2^{55648416450000} is an apocalyptic number.

55648416450000 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 55648416450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100731734006400).

55648416450000 is an abundant number, since it is smaller than the sum of its proper divisors (145815051562800).

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

55648416450000 is a wasteful number, since it uses less digits than its factorization.

55648416450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 48.

The spelling of 55648416450000 in words is "fifty-five trillion, six hundred forty-eight billion, four hundred sixteen million, four hundred fifty thousand".