47809203279552 has 448 divisors, whose sum is σ = 167111410475520. Its totient is φ = 13212075110400.

The previous prime is 47809203279521. The next prime is 47809203279581. The reversal of 47809203279552 is 25597230290874.

47809203279552 is a `hidden beast` number, since 4 + 7 + 8 + 0 + 9 + 2 + 0 + 3 + 2 + 79 + 552 = 666.

It is a super-3 number, since 3×47809203279552³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 47809203279552.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19344102 + ... + 21675162.

It is an arithmetic number, because the mean of its divisors is an integer number (373016541240).

Almost surely, 2^{47809203279552} 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 47809203279552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83555705237760).

47809203279552 is an abundant number, since it is smaller than the sum of its proper divisors (119302207195968).

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

47809203279552 is a wasteful number, since it uses less digits than its factorization.

47809203279552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331189 (or 2331173 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 47809203279552 in words is "forty-seven trillion, eight hundred nine billion, two hundred three million, two hundred seventy-nine thousand, five hundred fifty-two".