115358826240 has 1296 divisors, whose sum is σ = 499274062560. Its totient is φ = 25458499584.

The previous prime is 115358826227. The next prime is 115358826241. The reversal of 115358826240 is 42628853511.

115358826240 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 588 + 2 + 62 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115358826241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3977890546 + ... + 3977890574.

Almost surely, 2^115358826240 is an apocalyptic number.

115358826240 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 115358826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249637031280).

115358826240 is an abundant number, since it is smaller than the sum of its proper divisors (383915236320).

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

115358826240 is an frugal number, since it uses more digits than its factorization.

115358826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 115358826240 in words is "one hundred fifteen billion, three hundred fifty-eight million, eight hundred twenty-six thousand, two hundred forty".