115405585920 has 400 divisors, whose sum is σ = 420396775920. Its totient is φ = 30250008576.

The previous prime is 115405585891. The next prime is 115405585921. The reversal of 115405585920 is 29585504511.

115405585920 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 0 + 5 + 58 + 592 + 0 = 666.

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 (115405585921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12229524 + ... + 12238956.

Almost surely, 2^115405585920 is an apocalyptic number.

115405585920 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 115405585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210198387960).

115405585920 is an abundant number, since it is smaller than the sum of its proper divisors (304991190000).

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

115405585920 is an frugal number, since it uses more digits than its factorization.

115405585920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9527 (or 9502 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 45.

The spelling of 115405585920 in words is "one hundred fifteen billion, four hundred five million, five hundred eighty-five thousand, nine hundred twenty".