47936440056960 has 1728 divisors, whose sum is σ = 210078132820920. Its totient is φ = 9982518755328.

The previous prime is 47936440056949. The next prime is 47936440057007. The reversal of 47936440056960 is 6965004463974.

47936440056960 is a `hidden beast` number, since 4 + 7 + 9 + 3 + 6 + 4 + 4 + 0 + 0 + 569 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28773268421184 + 19163171635776 = 5364072^2 + 4377576^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 130617002697 + ... + 130617003063.

Almost surely, 2^{47936440056960} is an apocalyptic number.

47936440056960 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 47936440056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105039066410460).

47936440056960 is an abundant number, since it is smaller than the sum of its proper divisors (162141692763960).

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

47936440056960 is a wasteful number, since it uses less digits than its factorization.

47936440056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 47936440056960 in words is "forty-seven trillion, nine hundred thirty-six billion, four hundred forty million, fifty-six thousand, nine hundred sixty".