54365535110400 has 216 divisors, whose sum is σ = 179424347190144. Its totient is φ = 14496930201600.

The previous prime is 54365535110399. The next prime is 54365535110461. The reversal of 54365535110400 is 401153556345.

It is a happy number.

It is a super-2 number, since 2×54365535110400² (a number of 28 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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 963370185 + ... + 963426615.

Almost surely, 2^{54365535110400} is an apocalyptic number.

54365535110400 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 54365535110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89712173595072).

54365535110400 is an abundant number, since it is smaller than the sum of its proper divisors (125058812079744).

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

54365535110400 is a wasteful number, since it uses less digits than its factorization.

54365535110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106637 (or 106618 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

Adding to 54365535110400 its reverse (401153556345), we get a palindrome (54766688666745).

The spelling of 54365535110400 in words is "fifty-four trillion, three hundred sixty-five billion, five hundred thirty-five million, one hundred ten thousand, four hundred".