115866347520 has 1152 divisors, whose sum is σ = 479766792960. Its totient is φ = 23357030400.

The previous prime is 115866347501. The next prime is 115866347521. The reversal of 115866347520 is 25743668511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 115866347520.

It is not an unprimeable number, because it can be changed into a prime (115866347521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1587210204 + ... + 1587210276.

It is an arithmetic number, because the mean of its divisors is an integer number (416464230).

Almost surely, 2^115866347520 is an apocalyptic number.

115866347520 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 115866347520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239883396480).

115866347520 is an abundant number, since it is smaller than the sum of its proper divisors (363900445440).

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

115866347520 is a wasteful number, since it uses less digits than its factorization.

115866347520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 115866347520 in words is "one hundred fifteen billion, eight hundred sixty-six million, three hundred forty-seven thousand, five hundred twenty".