115876924800 has 768 divisors, whose sum is σ = 479510976000. Its totient is φ = 24439726080.

The previous prime is 115876924789. The next prime is 115876924853. The reversal of 115876924800 is 8429678511.

It is a super-2 number, since 2×115876924800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 42805047 + ... + 42807753.

It is an arithmetic number, because the mean of its divisors is an integer number (624363250).

Almost surely, 2^115876924800 is an apocalyptic number.

115876924800 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 115876924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239755488000).

115876924800 is an abundant number, since it is smaller than the sum of its proper divisors (363634051200).

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

115876924800 is a wasteful number, since it uses less digits than its factorization.

115876924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 115876924800 in words is "one hundred fifteen billion, eight hundred seventy-six million, nine hundred twenty-four thousand, eight hundred".