47361988800 has 1008 divisors, whose sum is σ = 201775974400. Its totient is φ = 10526423040.

The previous prime is 47361988799. The next prime is 47361988811. The reversal of 47361988800 is 888916374.

47361988800 is a `hidden beast` number, since 473 + 6 + 1 + 98 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 212385489 + ... + 212385711.

Almost surely, 2^47361988800 is an apocalyptic number.

47361988800 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 47361988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100887987200).

47361988800 is an abundant number, since it is smaller than the sum of its proper divisors (154413985600).

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

47361988800 is a wasteful number, since it uses less digits than its factorization.

47361988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 47361988800 in words is "forty-seven billion, three hundred sixty-one million, nine hundred eighty-eight thousand, eight hundred".