115859048692800 has 1344 divisors, whose sum is σ = 474610278998016. Its totient is φ = 24141968179200.

The previous prime is 115859048692781. The next prime is 115859048692823. The reversal of 115859048692800 is 8296840958511.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 2604078555 + ... + 2604123045.

It is an arithmetic number, because the mean of its divisors is an integer number (353132648064).

Almost surely, 2^{115859048692800} is an apocalyptic number.

115859048692800 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 115859048692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237305139499008).

115859048692800 is an abundant number, since it is smaller than the sum of its proper divisors (358751230305216).

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

115859048692800 is a wasteful number, since it uses less digits than its factorization.

115859048692800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44684 (or 44669 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 66.

The spelling of 115859048692800 in words is "one hundred fifteen trillion, eight hundred fifty-nine billion, forty-eight million, six hundred ninety-two thousand, eight hundred".