115282540800 has 648 divisors, whose sum is σ = 474706866816. Its totient is φ = 26145423360.

The previous prime is 115282540781. The next prime is 115282540817. The reversal of 115282540800 is 8045282511.

115282540800 is a `hidden beast` number, since 1 + 1 + 528 + 2 + 54 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55237357 + ... + 55239443.

Almost surely, 2^115282540800 is an apocalyptic number.

115282540800 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 115282540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237353433408).

115282540800 is an abundant number, since it is smaller than the sum of its proper divisors (359424326016).

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

115282540800 is a wasteful number, since it uses less digits than its factorization.

115282540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 115282540800 in words is "one hundred fifteen billion, two hundred eighty-two million, five hundred forty thousand, eight hundred".