115329701760 has 1024 divisors, whose sum is σ = 473776128000. Its totient is φ = 23211048960.

The previous prime is 115329701749. The next prime is 115329701761. The reversal of 115329701760 is 67107923511.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115329701761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 579546141 + ... + 579546339.

It is an arithmetic number, because the mean of its divisors is an integer number (462672000).

Almost surely, 2^115329701760 is an apocalyptic number.

115329701760 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 115329701760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236888064000).

115329701760 is an abundant number, since it is smaller than the sum of its proper divisors (358446426240).

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

115329701760 is a wasteful number, since it uses less digits than its factorization.

115329701760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The spelling of 115329701760 in words is "one hundred fifteen billion, three hundred twenty-nine million, seven hundred one thousand, seven hundred sixty".