47288580480 has 288 divisors, whose sum is σ = 168750578880. Its totient is φ = 12202076160.

The previous prime is 47288580433. The next prime is 47288580527. The reversal of 47288580480 is 8408588274.

47288580480 is a `hidden beast` number, since 4 + 7 + 2 + 8 + 85 + 80 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (47288580433) and next prime (47288580527).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5531089 + ... + 5539631.

It is an arithmetic number, because the mean of its divisors is an integer number (585939510).

Almost surely, 2^47288580480 is an apocalyptic number.

47288580480 is a gapful number since it is divisible by the number (40) 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 47288580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84375289440).

47288580480 is an abundant number, since it is smaller than the sum of its proper divisors (121461998400).

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

47288580480 is a wasteful number, since it uses less digits than its factorization.

47288580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8630 (or 8584 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 47288580480 in words is "forty-seven billion, two hundred eighty-eight million, five hundred eighty thousand, four hundred eighty".