315282380800 has 288 divisors, whose sum is σ = 863733780000. Its totient is φ = 113526702080.

The previous prime is 315282380771. The next prime is 315282380891. The reversal of 315282380800 is 8083282513.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20011326 + ... + 20027074.

It is an arithmetic number, because the mean of its divisors is an integer number (2999075625).

Almost surely, 2^315282380800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315282380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431866890000).

315282380800 is an abundant number, since it is smaller than the sum of its proper divisors (548451399200).

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

315282380800 is a wasteful number, since it uses less digits than its factorization.

315282380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15821 (or 15796 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 315282380800 in words is "three hundred fifteen billion, two hundred eighty-two million, three hundred eighty thousand, eight hundred".