115209255840 has 384 divisors, whose sum is σ = 447718440960. Its totient is φ = 24319561728.

The previous prime is 115209255829. The next prime is 115209255853. The reversal of 115209255840 is 48552902511.

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

It is a junction number, because it is equal to n+sod(n) for n = 115209255792 and 115209255801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2215417 + ... + 2266823.

It is an arithmetic number, because the mean of its divisors is an integer number (1165933440).

Almost surely, 2^115209255840 is an apocalyptic number.

115209255840 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 115209255840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223859220480).

115209255840 is an abundant number, since it is smaller than the sum of its proper divisors (332509185120).

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

115209255840 is a wasteful number, since it uses less digits than its factorization.

115209255840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51484 (or 51476 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 42.

The spelling of 115209255840 in words is "one hundred fifteen billion, two hundred nine million, two hundred fifty-five thousand, eight hundred forty".