55761205248 has 384 divisors, whose sum is σ = 191528064000. Its totient is φ = 15699640320.

The previous prime is 55761205243. The next prime is 55761205321. The reversal of 55761205248 is 84250216755.

55761205248 is a `hidden beast` number, since 5 + 5 + 7 + 612 + 0 + 5 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55761205243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27481098 + ... + 27483126.

It is an arithmetic number, because the mean of its divisors is an integer number (498771000).

Almost surely, 2^55761205248 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 55761205248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95764032000).

55761205248 is an abundant number, since it is smaller than the sum of its proper divisors (135766858752).

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

55761205248 is a wasteful number, since it uses less digits than its factorization.

55761205248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 55761205248 in words is "fifty-five billion, seven hundred sixty-one million, two hundred five thousand, two hundred forty-eight".