193132200960 has 264 divisors, whose sum is σ = 693987630336. Its totient is φ = 51501588480.

The previous prime is 193132200941. The next prime is 193132201061. The reversal of 193132200960 is 69002231391.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1166545 + ... + 1321775.

It is an arithmetic number, because the mean of its divisors is an integer number (2628741024).

Almost surely, 2^193132200960 is an apocalyptic number.

193132200960 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 193132200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346993815168).

193132200960 is an abundant number, since it is smaller than the sum of its proper divisors (500855429376).

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

193132200960 is an equidigital number, since it uses as much as digits as its factorization.

193132200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155271 (or 155241 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 193132200960 in words is "one hundred ninety-three billion, one hundred thirty-two million, two hundred thousand, nine hundred sixty".