55248744768 has 224 divisors, whose sum is σ = 176095395840. Its totient is φ = 14934067200.

The previous prime is 55248744743. The next prime is 55248744809. The reversal of 55248744768 is 86744784255.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×55248744768³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

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, 33221505 + ... + 33223167.

It is an arithmetic number, because the mean of its divisors is an integer number (786140160).

Almost surely, 2^55248744768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55248744768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88047697920).

55248744768 is an abundant number, since it is smaller than the sum of its proper divisors (120846651072).

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

55248744768 is a wasteful number, since it uses less digits than its factorization.

55248744768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3005 (or 2995 counting only the distinct ones).

The product of its digits is 60211200, while the sum is 60.

The spelling of 55248744768 in words is "fifty-five billion, two hundred forty-eight million, seven hundred forty-four thousand, seven hundred sixty-eight".