55617768517248 has 1728 divisors, whose sum is σ = 208995234739200. Its totient is φ = 14121886851072.

The previous prime is 55617768517243. The next prime is 55617768517291. The reversal of 55617768517248 is 84271586771655.

55617768517248 is a `hidden beast` number, since 5 + 5 + 6 + 1 + 7 + 7 + 68 + 517 + 2 + 48 = 666.

It is a super-3 number, since 3×55617768517248³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (55617768517243) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 24840449313 + ... + 24840451551.

It is an arithmetic number, because the mean of its divisors is an integer number (120946316400).

Almost surely, 2^{55617768517248} 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 55617768517248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104497617369600).

55617768517248 is an abundant number, since it is smaller than the sum of its proper divisors (153377466221952).

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

55617768517248 is a wasteful number, since it uses less digits than its factorization.

55617768517248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2346 counting only the distinct ones).

The product of its digits is 790272000, while the sum is 72.

The spelling of 55617768517248 in words is "fifty-five trillion, six hundred seventeen billion, seven hundred sixty-eight million, five hundred seventeen thousand, two hundred forty-eight".