193228960320 has 1120 divisors, whose sum is σ = 805388158080. Its totient is φ = 43475927040.

The previous prime is 193228960297. The next prime is 193228960333. The reversal of 193228960320 is 23069822391.

It is a happy number.

193228960320 is a `hidden beast` number, since 1 + 9 + 32 + 2 + 8 + 9 + 603 + 2 + 0 = 666.

It is a super-2 number, since 2×193228960320² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 287115504 + ... + 287116176.

Almost surely, 2^193228960320 is an apocalyptic number.

193228960320 is a gapful number since it is divisible by the number (10) 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 193228960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402694079040).

193228960320 is an abundant number, since it is smaller than the sum of its proper divisors (612159197760).

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

193228960320 is a wasteful number, since it uses less digits than its factorization.

193228960320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 193228960320 in words is "one hundred ninety-three billion, two hundred twenty-eight million, nine hundred sixty thousand, three hundred twenty".