993973748850 has 672 divisors, whose sum is σ = 3098456686080. Its totient is φ = 235833016320.

The previous prime is 993973748849. The next prime is 993973748851. The reversal of 993973748850 is 58847379399.

993973748850 is a `hidden beast` number, since 9 + 9 + 3 + 97 + 3 + 7 + 488 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (993973748849) and next prime (993973748851).

It is not an unprimeable number, because it can be changed into a prime (993973748851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1382438791 + ... + 1382439509.

It is an arithmetic number, because the mean of its divisors is an integer number (4610798640).

Almost surely, 2^993973748850 is an apocalyptic number.

993973748850 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 993973748850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549228343040).

993973748850 is an abundant number, since it is smaller than the sum of its proper divisors (2104482937230).

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

993973748850 is a wasteful number, since it uses less digits than its factorization.

993973748850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 993973748850 in words is "nine hundred ninety-three billion, nine hundred seventy-three million, seven hundred forty-eight thousand, eight hundred fifty".