115120817280 has 384 divisors, whose sum is σ = 466600942080. Its totient is φ = 25601826816.

The previous prime is 115120817249. The next prime is 115120817309. The reversal of 115120817280 is 82718021511.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 1453257 + ... + 1530423.

It is an arithmetic number, because the mean of its divisors is an integer number (1215106620).

Almost surely, 2^115120817280 is an apocalyptic number.

115120817280 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 115120817280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233300471040).

115120817280 is an abundant number, since it is smaller than the sum of its proper divisors (351480124800).

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

115120817280 is a wasteful number, since it uses less digits than its factorization.

115120817280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77236 (or 77221 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 36.

Adding to 115120817280 its reverse (82718021511), we get a palindrome (197838838791).

The spelling of 115120817280 in words is "one hundred fifteen billion, one hundred twenty million, eight hundred seventeen thousand, two hundred eighty".