993191551672320 has 6720 divisors, whose sum is σ = 4977877556348928. Its totient is φ = 184146827673600.

The previous prime is 993191551672303. The next prime is 993191551672361. The reversal of 993191551672320 is 23276155191399.

993191551672320 is a `hidden beast` number, since 9 + 9 + 3 + 1 + 9 + 1 + 551 + 6 + 72 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1132487515722 + ... + 1132487516598.

Almost surely, 2^{993191551672320} is an apocalyptic number.

993191551672320 is a gapful number since it is divisible by the number (90) 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 993191551672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488938778174464).

993191551672320 is an abundant number, since it is smaller than the sum of its proper divisors (3984686004676608).

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

993191551672320 is a wasteful number, since it uses less digits than its factorization.

993191551672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 27556200, while the sum is 63.

The spelling of 993191551672320 in words is "nine hundred ninety-three trillion, one hundred ninety-one billion, five hundred fifty-one million, six hundred seventy-two thousand, three hundred twenty".