93203132742720 has 7168 divisors, whose sum is σ = 489379155148800. Its totient is φ = 16282769817600.

The previous prime is 93203132742679. The next prime is 93203132742739. The reversal of 93203132742720 is 2724723130239.

It is a happy number.

93203132742720 is a `hidden beast` number, since 9 + 3 + 20 + 31 + 327 + 4 + 272 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 3006552669105 + ... + 3006552669135.

It is an arithmetic number, because the mean of its divisors is an integer number (68272761600).

Almost surely, 2^{93203132742720} is an apocalyptic number.

93203132742720 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 93203132742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244689577574400).

93203132742720 is an abundant number, since it is smaller than the sum of its proper divisors (396176022406080).

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

93203132742720 is a wasteful number, since it uses less digits than its factorization.

93203132742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

Adding to 93203132742720 its reverse (2724723130239), we get a palindrome (95927855872959).

The spelling of 93203132742720 in words is "ninety-three trillion, two hundred three billion, one hundred thirty-two million, seven hundred forty-two thousand, seven hundred twenty".