54133540224000 has 704 divisors, whose sum is σ = 191831571509760. Its totient is φ = 13510921420800.

The previous prime is 54133540223969. The next prime is 54133540224037. The reversal of 54133540224000 is 42204533145.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 605523304 + ... + 605612696.

Almost surely, 2^{54133540224000} is an apocalyptic number.

54133540224000 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 54133540224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95915785754880).

54133540224000 is an abundant number, since it is smaller than the sum of its proper divisors (137698031285760).

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

54133540224000 is a wasteful number, since it uses less digits than its factorization.

54133540224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89533 (or 89505 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 54133540224000 its reverse (42204533145), we get a palindrome (54175744757145).

The spelling of 54133540224000 in words is "fifty-four trillion, one hundred thirty-three billion, five hundred forty million, two hundred twenty-four thousand".