47731819968000 has 3200 divisors, whose sum is σ = 211893807071232. Its totient is φ = 10450944000000.

The previous prime is 47731819967983. The next prime is 47731819968067. The reversal of 47731819968000 is 86991813774.

47731819968000 is a `hidden beast` number, since 4 + 77 + 318 + 199 + 68 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 169864127860 + ... + 169864128140.

Almost surely, 2^{47731819968000} is an apocalyptic number.

47731819968000 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 47731819968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105946903535616).

47731819968000 is an abundant number, since it is smaller than the sum of its proper divisors (164161987103232).

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

47731819968000 is a wasteful number, since it uses less digits than its factorization.

47731819968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 47731819968000 in words is "forty-seven trillion, seven hundred thirty-one billion, eight hundred nineteen million, nine hundred sixty-eight thousand".