55315353600 has 1248 divisors, whose sum is σ = 233201046400. Its totient is φ = 12899450880.

The previous prime is 55315353563. The next prime is 55315353607. The reversal of 55315353600 is 635351355.

55315353600 is a `hidden beast` number, since 5 + 5 + 3 + 15 + 35 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55315353607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2911334391 + ... + 2911334409.

Almost surely, 2^55315353600 is an apocalyptic number.

55315353600 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 55315353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116600523200).

55315353600 is an abundant number, since it is smaller than the sum of its proper divisors (177885692800).

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

55315353600 is an equidigital number, since it uses as much as digits as its factorization.

55315353600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 101250, while the sum is 36.

The spelling of 55315353600 in words is "fifty-five billion, three hundred fifteen million, three hundred fifty-three thousand, six hundred".