55641248000 has 288 divisors, whose sum is σ = 151868545920. Its totient is φ = 20187340800.

The previous prime is 55641247999. The next prime is 55641248011. The reversal of 55641248000 is 84214655.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24542867 + ... + 24545133.

It is an arithmetic number, because the mean of its divisors is an integer number (527321340).

Almost surely, 2^55641248000 is an apocalyptic number.

55641248000 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 55641248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75934272960).

55641248000 is an abundant number, since it is smaller than the sum of its proper divisors (96227297920).

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

55641248000 is a wasteful number, since it uses less digits than its factorization.

55641248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The spelling of 55641248000 in words is "fifty-five billion, six hundred forty-one million, two hundred forty-eight thousand".