47208887161920 has 1344 divisors, whose sum is σ = 188442361036800. Its totient is φ = 10727684997120.

The previous prime is 47208887161889. The next prime is 47208887161949. The reversal of 47208887161920 is 2916178880274.

47208887161920 is a `hidden beast` number, since 4 + 7 + 2 + 0 + 8 + 8 + 8 + 7 + 1 + 619 + 2 + 0 = 666.

47208887161920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41814779916 + ... + 41814781044.

Almost surely, 2^{47208887161920} is an apocalyptic number.

47208887161920 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 47208887161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94221180518400).

47208887161920 is an abundant number, since it is smaller than the sum of its proper divisors (141233473874880).

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

47208887161920 is a wasteful number, since it uses less digits than its factorization.

47208887161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 47208887161920 in words is "forty-seven trillion, two hundred eight billion, eight hundred eighty-seven million, one hundred sixty-one thousand, nine hundred twenty".