54355660800 has 936 divisors, whose sum is σ = 219534002496. Its totient is φ = 11808276480.

The previous prime is 54355660747. The next prime is 54355660813. The reversal of 54355660800 is 806655345.

It is a happy number.

It is a super-2 number, since 2×54355660800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 346214322 + ... + 346214478.

Almost surely, 2^54355660800 is an apocalyptic number.

54355660800 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 54355660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109767001248).

54355660800 is an abundant number, since it is smaller than the sum of its proper divisors (165178341696).

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

54355660800 is a wasteful number, since it uses less digits than its factorization.

54355660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 54355660800 in words is "fifty-four billion, three hundred fifty-five million, six hundred sixty thousand, eight hundred".