47982295296 has 720 divisors, whose sum is σ = 164539710720. Its totient is φ = 13795246080.

The previous prime is 47982295261. The next prime is 47982295313. The reversal of 47982295296 is 69259228974.

47982295296 is a `hidden beast` number, since 4 + 7 + 9 + 82 + 29 + 529 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 440204490 + ... + 440204598.

It is an arithmetic number, because the mean of its divisors is an integer number (228527376).

Almost surely, 2^47982295296 is an apocalyptic number.

47982295296 is a gapful number since it is divisible by the number (46) 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 47982295296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82269855360).

47982295296 is an abundant number, since it is smaller than the sum of its proper divisors (116557415424).

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

47982295296 is a wasteful number, since it uses less digits than its factorization.

47982295296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 221 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 47982295296 in words is "forty-seven billion, nine hundred eighty-two million, two hundred ninety-five thousand, two hundred ninety-six".