47887563284400 has 960 divisors, whose sum is σ = 193065563013120. Its totient is φ = 9901406822400.

The previous prime is 47887563284339. The next prime is 47887563284437. The reversal of 47887563284400 is 448236578874.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 307471347 + ... + 307627053.

It is an arithmetic number, because the mean of its divisors is an integer number (201109961472).

Almost surely, 2^{47887563284400} is an apocalyptic number.

47887563284400 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 47887563284400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96532781506560).

47887563284400 is an abundant number, since it is smaller than the sum of its proper divisors (145177999728720).

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

47887563284400 is a wasteful number, since it uses less digits than its factorization.

47887563284400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155842 (or 155831 counting only the distinct ones).

The product of its (nonzero) digits is 289013760, while the sum is 66.

The spelling of 47887563284400 in words is "forty-seven trillion, eight hundred eighty-seven billion, five hundred sixty-three million, two hundred eighty-four thousand, four hundred".