115155513320320 has 256 divisors, whose sum is σ = 300992159692800. Its totient is φ = 41781145190400.

The previous prime is 115155513320233. The next prime is 115155513320389. The reversal of 115155513320320 is 23023315551511.

It is a happy number.

It is a super-4 number, since 4×115155513320320⁴ (a number of 57 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 115155513320320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7953270841 + ... + 7953285319.

It is an arithmetic number, because the mean of its divisors is an integer number (1175750623800).

Almost surely, 2^{115155513320320} is an apocalyptic number.

115155513320320 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 115155513320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150496079846400).

115155513320320 is an abundant number, since it is smaller than the sum of its proper divisors (185836646372480).

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

115155513320320 is a wasteful number, since it uses less digits than its factorization.

115155513320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16957 (or 16945 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 37.

Adding to 115155513320320 its reverse (23023315551511), we get a palindrome (138178828871831).

The spelling of 115155513320320 in words is "one hundred fifteen trillion, one hundred fifty-five billion, five hundred thirteen million, three hundred twenty thousand, three hundred twenty".