47057196810240 has 1056 divisors, whose sum is σ = 178320991703400. Its totient is φ = 11888133931008.

The previous prime is 47057196810229. The next prime is 47057196810241. The reversal of 47057196810240 is 4201869175074.

47057196810240 is a `hidden beast` number, since 4 + 7 + 0 + 571 + 9 + 68 + 1 + 0 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47057196810241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 2476694568951 + ... + 2476694568969.

Almost surely, 2^{47057196810240} is an apocalyptic number.

47057196810240 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 47057196810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89160495851700).

47057196810240 is an abundant number, since it is smaller than the sum of its proper divisors (131263794893160).

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

47057196810240 is an frugal number, since it uses more digits than its factorization.

47057196810240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 47057196810240 in words is "forty-seven trillion, fifty-seven billion, one hundred ninety-six million, eight hundred ten thousand, two hundred forty".