47609915983200 has 576 divisors, whose sum is σ = 178186485960000. Its totient is φ = 12254075043840.

The previous prime is 47609915983187. The next prime is 47609915983247. The reversal of 47609915983200 is 238951990674.

47609915983200 is a `hidden beast` number, since 4 + 7 + 6 + 0 + 9 + 9 + 1 + 598 + 32 + 0 + 0 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2160442582 + ... + 2160464618.

It is an arithmetic number, because the mean of its divisors is an integer number (309351538125).

It is a 1-persistent number, because it is pandigital, but 2⋅47609915983200 = 95219831966400 is not.

Almost surely, 2^{47609915983200} is an apocalyptic number.

47609915983200 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 47609915983200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89093242980000).

47609915983200 is an abundant number, since it is smaller than the sum of its proper divisors (130576569976800).

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

47609915983200 is a wasteful number, since it uses less digits than its factorization.

47609915983200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25544 (or 25525 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 47609915983200 in words is "forty-seven trillion, six hundred nine billion, nine hundred fifteen million, nine hundred eighty-three thousand, two hundred".