47985705331200 has 5400 divisors, whose sum is σ = 234395738346528. Its totient is φ = 9684262748160.

The previous prime is 47985705331199. The next prime is 47985705331217. The reversal of 47985705331200 is 213350758974.

47985705331200 is a `hidden beast` number, since 4 + 7 + 9 + 8 + 570 + 53 + 3 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5400).

It is a super-2 number, since 2×47985705331200² (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 539 ways as a sum of consecutive naturals, for example, 2086335014389 + ... + 2086335014411.

Almost surely, 2^{47985705331200} is an apocalyptic number.

47985705331200 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 47985705331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117197869173264).

47985705331200 is an abundant number, since it is smaller than the sum of its proper divisors (186410033015328).

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

47985705331200 is an frugal number, since it uses more digits than its factorization.

47985705331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

47985705331200 divided by its product of nonzero digits (6350400) gives a triangular number (7556328 = T₃₈₈₇).

The spelling of 47985705331200 in words is "forty-seven trillion, nine hundred eighty-five billion, seven hundred five million, three hundred thirty-one thousand, two hundred".