54333259904000 has 2112 divisors, whose sum is σ = 187361209631232. Its totient is φ = 15220998144000.

The previous prime is 54333259903999. The next prime is 54333259904003. The reversal of 54333259904000 is 40995233345.

It is a super-2 number, since 2×54333259904000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54333259904003) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 88635007694 + ... + 88635008306.

Almost surely, 2^{54333259904000} is an apocalyptic number.

54333259904000 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 54333259904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93680604815616).

54333259904000 is an abundant number, since it is smaller than the sum of its proper divisors (133027949727232).

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

54333259904000 is a wasteful number, since it uses less digits than its factorization.

54333259904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 47.

The spelling of 54333259904000 in words is "fifty-four trillion, three hundred thirty-three billion, two hundred fifty-nine million, nine hundred four thousand".