47166816547200 has 4608 divisors, whose sum is σ = 208293982617600. Its totient is φ = 9305520537600.

The previous prime is 47166816547159. The next prime is 47166816547211. The reversal of 47166816547200 is 274561866174.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 440811369547 + ... + 440811369653.

It is an arithmetic number, because the mean of its divisors is an integer number (45202687200).

Almost surely, 2^{47166816547200} is an apocalyptic number.

47166816547200 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 47166816547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104146991308800).

47166816547200 is an abundant number, since it is smaller than the sum of its proper divisors (161127166070400).

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

47166816547200 is a wasteful number, since it uses less digits than its factorization.

47166816547200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 47166816547200 in words is "forty-seven trillion, one hundred sixty-six billion, eight hundred sixteen million, five hundred forty-seven thousand, two hundred".