47847754764800 has 120 divisors (see below), whose sum is σ = 119634137056500. Its totient is φ = 18963513262080.

The previous prime is 47847754764793. The next prime is 47847754764809. The reversal of 47847754764800 is 846745774874.

It can be written as a sum of positive squares in 6 ways, for example, as 26754383831296 + 21093370933504 = 5172464^2 + 4592752^2 .

It is a super-2 number, since 2×47847754764800² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47847754764809) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15752075 + ... + 18542474.

Almost surely, 2^{47847754764800} is an apocalyptic number.

47847754764800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47847754764800 is an abundant number, since it is smaller than the sum of its proper divisors (71786382291700).

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

47847754764800 is a wasteful number, since it uses less digits than its factorization.

47847754764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34294686 (or 34294665 counting only the distinct ones).

The product of its (nonzero) digits is 1180139520, while the sum is 71.

The spelling of 47847754764800 in words is "forty-seven trillion, eight hundred forty-seven billion, seven hundred fifty-four million, seven hundred sixty-four thousand, eight hundred".