115505249370 has 256 divisors, whose sum is σ = 331280547840. Its totient is φ = 25228578816.

The previous prime is 115505249351. The next prime is 115505249479. The reversal of 115505249370 is 73942505511.

It is a happy number.

115505249370 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90308391 + ... + 90309669.

It is an arithmetic number, because the mean of its divisors is an integer number (1294064640).

Almost surely, 2^115505249370 is an apocalyptic number.

115505249370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 115505249370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165640273920).

115505249370 is an abundant number, since it is smaller than the sum of its proper divisors (215775298470).

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

115505249370 is a wasteful number, since it uses less digits than its factorization.

115505249370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549.

The product of its (nonzero) digits is 189000, while the sum is 42.

The spelling of 115505249370 in words is "one hundred fifteen billion, five hundred five million, two hundred forty-nine thousand, three hundred seventy".