47318057971200 has 1200 divisors, whose sum is σ = 176723735425776. Its totient is φ = 12555465523200.

The previous prime is 47318057971181. The next prime is 47318057971211. The reversal of 47318057971200 is 217975081374.

47318057971200 is a `hidden beast` number, since 4 + 7 + 318 + 0 + 57 + 9 + 71 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×47318057971200² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 73819122880 + ... + 73819123520.

Almost surely, 2^{47318057971200} is an apocalyptic number.

47318057971200 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 47318057971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88361867712888).

47318057971200 is an abundant number, since it is smaller than the sum of its proper divisors (129405677454576).

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

47318057971200 is an frugal number, since it uses more digits than its factorization.

47318057971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 47318057971200 in words is "forty-seven trillion, three hundred eighteen billion, fifty-seven million, nine hundred seventy-one thousand, two hundred".