54400416503400 has 576 divisors, whose sum is σ = 211362328195200. Its totient is φ = 12392497152000.

The previous prime is 54400416503371. The next prime is 54400416503431. The reversal of 54400416503400 is 430561400445.

54400416503400 is a `hidden beast` number, since 54 + 40 + 0 + 4 + 165 + 0 + 3 + 400 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 212266536 + ... + 212522664.

It is an arithmetic number, because the mean of its divisors is an integer number (366948486450).

Almost surely, 2^{54400416503400} is an apocalyptic number.

54400416503400 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 54400416503400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105681164097600).

54400416503400 is an abundant number, since it is smaller than the sum of its proper divisors (156961911691800).

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

54400416503400 is a wasteful number, since it uses less digits than its factorization.

54400416503400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256810 (or 256798 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 54400416503400 its reverse (430561400445), we get a palindrome (54830977903845).

The spelling of 54400416503400 in words is "fifty-four trillion, four hundred billion, four hundred sixteen million, five hundred three thousand, four hundred".