54221212024000 has 224 divisors, whose sum is σ = 155404085391360. Its totient is φ = 18354810240000.

The previous prime is 54221212023971. The next prime is 54221212024033. The reversal of 54221212024000 is 42021212245.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (25).

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 31 ways as a sum of consecutive naturals, for example, 1704076 + ... + 10552075.

Almost surely, 2^{54221212024000} is an apocalyptic number.

54221212024000 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 54221212024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77702042695680).

54221212024000 is an abundant number, since it is smaller than the sum of its proper divisors (101182873367360).

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

54221212024000 is a wasteful number, since it uses less digits than its factorization.

54221212024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12256264 (or 12256244 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 54221212024000 its reverse (42021212245), we get a palindrome (54263233236245).

The spelling of 54221212024000 in words is "fifty-four trillion, two hundred twenty-one billion, two hundred twelve million, twenty-four thousand".