47319105600 has 504 divisors, whose sum is σ = 191787490440. Its totient is φ = 10961879040.

The previous prime is 47319105593. The next prime is 47319105619. The reversal of 47319105600 is 650191374.

47319105600 is a `hidden beast` number, since 4 + 7 + 3 + 1 + 91 + 0 + 560 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 20708361216 + 26610744384 = 143904^2 + 163128^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3174966 + ... + 3189834.

It is an arithmetic number, because the mean of its divisors is an integer number (380530735).

Almost surely, 2^47319105600 is an apocalyptic number.

47319105600 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 47319105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95893745220).

47319105600 is an abundant number, since it is smaller than the sum of its proper divisors (144468384840).

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

47319105600 is a wasteful number, since it uses less digits than its factorization.

47319105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14927 (or 14909 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Adding to 47319105600 its reverse (650191374), we get a palindrome (47969296974).

The spelling of 47319105600 in words is "forty-seven billion, three hundred nineteen million, one hundred five thousand, six hundred".