993115632960 has 1792 divisors, whose sum is σ = 4216364236800. Its totient is φ = 217379635200.

The previous prime is 993115632923. The next prime is 993115633019. The reversal of 993115632960 is 69236511399.

993115632960 is a `hidden beast` number, since 9 + 9 + 3 + 11 + 563 + 2 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 993115632897 and 993115632906.

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, 6325577202 + ... + 6325577358.

Almost surely, 2^993115632960 is an apocalyptic number.

993115632960 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 993115632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108182118400).

993115632960 is an abundant number, since it is smaller than the sum of its proper divisors (3223248603840).

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

993115632960 is a wasteful number, since it uses less digits than its factorization.

993115632960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 993115632960 in words is "nine hundred ninety-three billion, one hundred fifteen million, six hundred thirty-two thousand, nine hundred sixty".