47751317640000 has 3360 divisors, whose sum is σ = 201252740008320. Its totient is φ = 11140706304000.

The previous prime is 47751317639983. The next prime is 47751317640001. The reversal of 47751317640000 is 4671315774.

47751317640000 is a `hidden beast` number, since 4 + 7 + 75 + 1 + 3 + 176 + 400 + 0 + 0 = 666.

47751317640000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47751317640001) by changing a digit.

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 479 ways as a sum of consecutive naturals, for example, 304148519922 + ... + 304148520078.

It is an arithmetic number, because the mean of its divisors is an integer number (59896648812).

Almost surely, 2^{47751317640000} is an apocalyptic number.

47751317640000 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 47751317640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100626370004160).

47751317640000 is an abundant number, since it is smaller than the sum of its proper divisors (153501422368320).

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

47751317640000 is a wasteful number, since it uses less digits than its factorization.

47751317640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

Adding to 47751317640000 its reverse (4671315774), we get a palindrome (47755988955774).

The spelling of 47751317640000 in words is "forty-seven trillion, seven hundred fifty-one billion, three hundred seventeen million, six hundred forty thousand".