115201789200 has 180 divisors, whose sum is σ = 399929164180. Its totient is φ = 30709186560.

The previous prime is 115201789151. The next prime is 115201789207. The reversal of 115201789200 is 2987102511.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7573176576 + 107628612624 = 87024^2 + 328068^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (115201789207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15379056 + ... + 15386544.

Almost surely, 2^115201789200 is an apocalyptic number.

115201789200 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 115201789200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199964582090).

115201789200 is an abundant number, since it is smaller than the sum of its proper divisors (284727374980).

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

115201789200 is a wasteful number, since it uses less digits than its factorization.

115201789200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11786 (or 11772 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

It can be divided in two parts, 115201 and 789200, that added together give a square (904401 = 951²).

The spelling of 115201789200 in words is "one hundred fifteen billion, two hundred one million, seven hundred eighty-nine thousand, two hundred".