47205412800 has 672 divisors, whose sum is σ = 193577943552. Its totient is φ = 9805086720.

The previous prime is 47205412789. The next prime is 47205412823. The reversal of 47205412800 is 821450274.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29264794 + ... + 29266406.

It is an arithmetic number, because the mean of its divisors is an integer number (288062416).

Almost surely, 2^47205412800 is an apocalyptic number.

47205412800 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 47205412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96788971776).

47205412800 is an abundant number, since it is smaller than the sum of its proper divisors (146372530752).

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

47205412800 is a wasteful number, since it uses less digits than its factorization.

47205412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The spelling of 47205412800 in words is "forty-seven billion, two hundred five million, four hundred twelve thousand, eight hundred".