115110510400 has 168 divisors, whose sum is σ = 300573887040. Its totient is φ = 43294986240.

The previous prime is 115110510371. The next prime is 115110510407. The reversal of 115110510400 is 4015011511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115110510407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2144692 + ... + 2197708.

It is an arithmetic number, because the mean of its divisors is an integer number (1789130280).

Almost surely, 2^115110510400 is an apocalyptic number.

115110510400 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 115110510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150286943520).

115110510400 is an abundant number, since it is smaller than the sum of its proper divisors (185463376640).

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

115110510400 is a wasteful number, since it uses less digits than its factorization.

115110510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53121 (or 53106 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 19.

Adding to 115110510400 its reverse (4015011511), we get a palindrome (119125521911).

The spelling of 115110510400 in words is "one hundred fifteen billion, one hundred ten million, five hundred ten thousand, four hundred".