47682852940800 has 3960 divisors, whose sum is σ = 234993481142112. Its totient is φ = 9319455129600.

The previous prime is 47682852940799. The next prime is 47682852940837. The reversal of 47682852940800 is 804925828674.

47682852940800 is a `hidden beast` number, since 4 + 7 + 6 + 8 + 28 + 529 + 4 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 29857765602 + ... + 29857767198.

Almost surely, 2^{47682852940800} is an apocalyptic number.

47682852940800 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 47682852940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117496740571056).

47682852940800 is an abundant number, since it is smaller than the sum of its proper divisors (187310628201312).

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

47682852940800 is a wasteful number, since it uses less digits than its factorization.

47682852940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 47682852940800 in words is "forty-seven trillion, six hundred eighty-two billion, eight hundred fifty-two million, nine hundred forty thousand, eight hundred".