47780108845056 has 900 divisors, whose sum is σ = 170111106903276. Its totient is φ = 13317754060800.

The previous prime is 47780108845019. The next prime is 47780108845061. The reversal of 47780108845056 is 65054880108774.

It is a happy number.

47780108845056 is a `hidden beast` number, since 4 + 7 + 78 + 0 + 108 + 8 + 450 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1348422598656 + 46431686246400 = 1161216^2 + 6814080^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 47780108844984 and 47780108845002.

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 59 ways as a sum of consecutive naturals, for example, 2666142976 + ... + 2666160896.

Almost surely, 2^{47780108845056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47780108845056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85055553451638).

47780108845056 is an abundant number, since it is smaller than the sum of its proper divisors (122330998058220).

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

47780108845056 is an equidigital number, since it uses as much as digits as its factorization.

47780108845056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18016 (or 17974 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 63.

The spelling of 47780108845056 in words is "forty-seven trillion, seven hundred eighty billion, one hundred eight million, eight hundred forty-five thousand, fifty-six".