56111855500800 has 2640 divisors, whose sum is σ = 241476851916432. Its totient is φ = 12770456371200.

The previous prime is 56111855500763. The next prime is 56111855500807. The reversal of 56111855500800 is 800555811165.

56111855500800 is a `hidden beast` number, since 5 + 6 + 1 + 1 + 18 + 5 + 550 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56111855500807) by changing a digit.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 141339686202 + ... + 141339686598.

Almost surely, 2^{56111855500800} is an apocalyptic number.

56111855500800 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 56111855500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120738425958216).

56111855500800 is an abundant number, since it is smaller than the sum of its proper divisors (185364996415632).

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

56111855500800 is an equidigital number, since it uses as much as digits as its factorization.

56111855500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 45.

The spelling of 56111855500800 in words is "fifty-six trillion, one hundred eleven billion, eight hundred fifty-five million, five hundred thousand, eight hundred".