55755775752768 has 2240 divisors, whose sum is σ = 217404349747200. Its totient is φ = 13735466680320.

The previous prime is 55755775752713. The next prime is 55755775752779. The reversal of 55755775752768 is 86725757755755.

55755775752768 is a `hidden beast` number, since 5 + 5 + 7 + 557 + 7 + 5 + 7 + 52 + 7 + 6 + 8 = 666.

It is a super-3 number, since 3×55755775752768³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 54079316413 + ... + 54079317443.

It is an arithmetic number, because the mean of its divisors is an integer number (97055513280).

Almost surely, 2^{55755775752768} is an apocalyptic number.

55755775752768 is a gapful number since it is divisible by the number (58) 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 55755775752768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108702174873600).

55755775752768 is an abundant number, since it is smaller than the sum of its proper divisors (161648573994432).

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

55755775752768 is a wasteful number, since it uses less digits than its factorization.

55755775752768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1211 counting only the distinct ones).

The product of its digits is 25210500000, while the sum is 81.

The spelling of 55755775752768 in words is "fifty-five trillion, seven hundred fifty-five billion, seven hundred seventy-five million, seven hundred fifty-two thousand, seven hundred sixty-eight".