54336480000 has 720 divisors, whose sum is σ = 202750998912. Its totient is φ = 12800000000.

The previous prime is 54336479971. The next prime is 54336480031. The reversal of 54336480000 is 8463345.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 216479875 + ... + 216480125.

Almost surely, 2^54336480000 is an apocalyptic number.

54336480000 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 54336480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101375499456).

54336480000 is an abundant number, since it is smaller than the sum of its proper divisors (148414518912).

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

54336480000 is a wasteful number, since it uses less digits than its factorization.

54336480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 54336480000 in words is "fifty-four billion, three hundred thirty-six million, four hundred eighty thousand".