54415718400 has 576 divisors, whose sum is σ = 191185263360. Its totient is φ = 13624934400.

The previous prime is 54415718393. The next prime is 54415718447. The reversal of 54415718400 is 481751445.

It is a super-2 number, since 2×54415718400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257894295 + ... + 257894505.

It is an arithmetic number, because the mean of its divisors is an integer number (331918860).

Almost surely, 2^54415718400 is an apocalyptic number.

54415718400 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 54415718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95592631680).

54415718400 is an abundant number, since it is smaller than the sum of its proper divisors (136769544960).

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

54415718400 is a wasteful number, since it uses less digits than its factorization.

54415718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The spelling of 54415718400 in words is "fifty-four billion, four hundred fifteen million, seven hundred eighteen thousand, four hundred".