47993661112320 has 3840 divisors, whose sum is σ = 222861735936000. Its totient is φ = 9832248115200.

The previous prime is 47993661112283. The next prime is 47993661112349. The reversal of 47993661112320 is 2321116639974.

47993661112320 is a `hidden beast` number, since 4 + 7 + 9 + 9 + 3 + 6 + 611 + 12 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 255 ways as a sum of consecutive naturals, for example, 675967057885 + ... + 675967057955.

It is an arithmetic number, because the mean of its divisors is an integer number (58036910400).

Almost surely, 2^{47993661112320} is an apocalyptic number.

47993661112320 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 47993661112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111430867968000).

47993661112320 is an abundant number, since it is smaller than the sum of its proper divisors (174868074823680).

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

47993661112320 is an frugal number, since it uses more digits than its factorization.

47993661112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 47993661112320 in words is "forty-seven trillion, nine hundred ninety-three billion, six hundred sixty-one million, one hundred twelve thousand, three hundred twenty".