54242431021200 has 60 divisors (see below), whose sum is σ = 173756587375088. Its totient is φ = 14464648272000.

The previous prime is 54242431021157. The next prime is 54242431021217. The reversal of 54242431021200 is 212013424245.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 11 ways as a sum of consecutive naturals, for example, 22601011726 + ... + 22601014125.

Almost surely, 2^{54242431021200} is an apocalyptic number.

54242431021200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54242431021200 is an abundant number, since it is smaller than the sum of its proper divisors (119514156353888).

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

54242431021200 is a wasteful number, since it uses less digits than its factorization.

54242431021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45202025872 (or 45202025861 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 54242431021200 its reverse (212013424245), we get a palindrome (54454444445445).

The spelling of 54242431021200 in words is "fifty-four trillion, two hundred forty-two billion, four hundred thirty-one million, twenty-one thousand, two hundred".