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54720960000 = 29354717479
BaseRepresentation
bin110010111101100111…
…111001011000000000
312020020121010210021020
4302331213321120000
51344032031210000
641045524025440
73645015325350
oct627547713000
9166217123236
1054720960000
1121230612193
12a731b32280
135210b5bb95
142911716b60
15165407cba0
hexcbd9f9600

54720960000 has 800 divisors, whose sum is σ = 220897290240. Its totient is φ = 11747328000.

The previous prime is 54720959999. The next prime is 54720960097. The reversal of 54720960000 is 6902745.

54720960000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (800).

It is a congruent number.

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, 114239761 + ... + 114240239.

Almost surely, 254720960000 is an apocalyptic number.

54720960000 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 54720960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110448645120).

54720960000 is an abundant number, since it is smaller than the sum of its proper divisors (166176330240).

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

54720960000 is an equidigital number, since it uses as much as digits as its factorization.

54720960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 54720960000 in words is "fifty-four billion, seven hundred twenty million, nine hundred sixty thousand".