115575681372800 has 384 divisors, whose sum is σ = 322282820347200. Its totient is φ = 40568299520000.

The previous prime is 115575681372799. The next prime is 115575681372869. The reversal of 115575681372800 is 8273186575511.

It is a self number, because there is not a number n which added to its sum of digits gives 115575681372800.

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 47 ways as a sum of consecutive naturals, for example, 5033553320 + ... + 5033576280.

Almost surely, 2^{115575681372800} is an apocalyptic number.

115575681372800 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 115575681372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161141410173600).

115575681372800 is an abundant number, since it is smaller than the sum of its proper divisors (206707138974400).

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

115575681372800 is a wasteful number, since it uses less digits than its factorization.

115575681372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27956 (or 27939 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 59.

The spelling of 115575681372800 in words is "one hundred fifteen trillion, five hundred seventy-five billion, six hundred eighty-one million, three hundred seventy-two thousand, eight hundred".