47202287844960 has 288 divisors, whose sum is σ = 164658129592320. Its totient is φ = 12310199092224.

The previous prime is 47202287844919. The next prime is 47202287844983. The reversal of 47202287844960 is 6944878220274.

47202287844960 is a `hidden beast` number, since 4 + 72 + 0 + 2 + 2 + 8 + 78 + 4 + 496 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 11650849 + ... + 15170591.

It is an arithmetic number, because the mean of its divisors is an integer number (571729616640).

Almost surely, 2^{47202287844960} is an apocalyptic number.

47202287844960 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 47202287844960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82329064796160).

47202287844960 is an abundant number, since it is smaller than the sum of its proper divisors (117455841747360).

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

47202287844960 is a wasteful number, since it uses less digits than its factorization.

47202287844960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3519970 (or 3519959 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 47202287844960 in words is "forty-seven trillion, two hundred two billion, two hundred eighty-seven million, eight hundred forty-four thousand, nine hundred sixty".