55011178252800 has 6480 divisors, whose sum is σ = 276536390850720. Its totient is φ = 10760291942400.

The previous prime is 55011178252753. The next prime is 55011178252801. The reversal of 55011178252800 is 825287111055.

It is a happy number.

55011178252800 is a `hidden beast` number, since 5 + 5 + 0 + 1 + 117 + 8 + 2 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a super-2 number, since 2×55011178252800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (55011178252801) by changing a digit.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 350389670322 + ... + 350389670478.

Almost surely, 2^{55011178252800} is an apocalyptic number.

55011178252800 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 55011178252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138268195425360).

55011178252800 is an abundant number, since it is smaller than the sum of its proper divisors (221525212597920).

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

55011178252800 is a wasteful number, since it uses less digits than its factorization.

55011178252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 45.

The spelling of 55011178252800 in words is "fifty-five trillion, eleven billion, one hundred seventy-eight million, two hundred fifty-two thousand, eight hundred".