115585143038820 has 1152 divisors, whose sum is σ = 456469966149120. Its totient is φ = 24064866201600.

The previous prime is 115585143038773. The next prime is 115585143038837. The reversal of 115585143038820 is 28830341585511.

115585143038820 is a `hidden beast` number, since 1 + 1 + 5 + 58 + 51 + 430 + 38 + 82 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 10665782442 + ... + 10665793278.

It is an arithmetic number, because the mean of its divisors is an integer number (396241290060).

Almost surely, 2^{115585143038820} is an apocalyptic number.

115585143038820 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 115585143038820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228234983074560).

115585143038820 is an abundant number, since it is smaller than the sum of its proper divisors (340884823110300).

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

115585143038820 is a wasteful number, since it uses less digits than its factorization.

115585143038820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11290 (or 11275 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 115585143038820 in words is "one hundred fifteen trillion, five hundred eighty-five billion, one hundred forty-three million, thirty-eight thousand, eight hundred twenty".