115505235510544 has 320 divisors, whose sum is σ = 269381867028480. Its totient is φ = 47414062080000.

The previous prime is 115505235510503. The next prime is 115505235510547. The reversal of 115505235510544 is 445015532505511.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 115505235510494 and 115505235510503.

It is not an unprimeable number, because it can be changed into a prime (115505235510547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6626417509 + ... + 6626434939.

It is an arithmetic number, because the mean of its divisors is an integer number (841818334464).

Almost surely, 2^{115505235510544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115505235510544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134690933514240).

115505235510544 is an abundant number, since it is smaller than the sum of its proper divisors (153876631517936).

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

115505235510544 is a wasteful number, since it uses less digits than its factorization.

115505235510544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18750 (or 18744 counting only the distinct ones).

The product of its (nonzero) digits is 1500000, while the sum is 46.

The spelling of 115505235510544 in words is "one hundred fifteen trillion, five hundred five billion, two hundred thirty-five million, five hundred ten thousand, five hundred forty-four".