993073519872 has 864 divisors, whose sum is σ = 3528738380160. Its totient is φ = 277974208512.

The previous prime is 993073519747. The next prime is 993073519927. The reversal of 993073519872 is 278915370399.

993073519872 is a `hidden beast` number, since 9 + 9 + 30 + 7 + 3 + 519 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 1453987243 + ... + 1453987925.

It is an arithmetic number, because the mean of its divisors is an integer number (4084187940).

Almost surely, 2^993073519872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993073519872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764369190080).

993073519872 is an abundant number, since it is smaller than the sum of its proper divisors (2535664860288).

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

993073519872 is an frugal number, since it uses more digits than its factorization.

993073519872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 993073519872 in words is "nine hundred ninety-three billion, seventy-three million, five hundred nineteen thousand, eight hundred seventy-two".