115434541200 has 240 divisors, whose sum is σ = 409415152896. Its totient is φ = 27566246400.

The previous prime is 115434541153. The next prime is 115434541217. The reversal of 115434541200 is 2145434511.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 819139 + ... + 949661.

Almost surely, 2^115434541200 is an apocalyptic number.

115434541200 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 115434541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204707576448).

115434541200 is an abundant number, since it is smaller than the sum of its proper divisors (293980611696).

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

115434541200 is a wasteful number, since it uses less digits than its factorization.

115434541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130622 (or 130611 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 115434541200 its reverse (2145434511), we get a palindrome (117579975711).

The spelling of 115434541200 in words is "one hundred fifteen billion, four hundred thirty-four million, five hundred forty-one thousand, two hundred".