55345118400 has 2016 divisors, whose sum is σ = 259910031360. Its totient is φ = 11280384000.

The previous prime is 55345118399. The next prime is 55345118419. The reversal of 55345118400 is 481154355.

55345118400 is a `hidden beast` number, since 5 + 534 + 5 + 118 + 4 + 0 + 0 = 666.

55345118400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1785326385 + ... + 1785326415.

Almost surely, 2^55345118400 is an apocalyptic number.

55345118400 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 55345118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129955015680).

55345118400 is an abundant number, since it is smaller than the sum of its proper divisors (204564912960).

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

55345118400 is a wasteful number, since it uses less digits than its factorization.

55345118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 55345118400 in words is "fifty-five billion, three hundred forty-five million, one hundred eighteen thousand, four hundred".