115200405200 has 60 divisors (see below), whose sum is σ = 277099660320. Its totient is φ = 46025105280.

The previous prime is 115200405181. The next prime is 115200405209. The reversal of 115200405200 is 2504002511.

It is a super-2 number, since 2×115200405200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115200405209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163967 + ... + 507233.

It is an arithmetic number, because the mean of its divisors is an integer number (4618327672).

Almost surely, 2^115200405200 is an apocalyptic number.

115200405200 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 115200405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138549830160).

115200405200 is an abundant number, since it is smaller than the sum of its proper divisors (161899255120).

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

115200405200 is a wasteful number, since it uses less digits than its factorization.

115200405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344124 (or 344113 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 115200405200 its reverse (2504002511), we get a palindrome (117704407711).

The spelling of 115200405200 in words is "one hundred fifteen billion, two hundred million, four hundred five thousand, two hundred".