315232606727280 has 1600 divisors, whose sum is σ = 1234242608417280. Its totient is φ = 73904895590400.

The previous prime is 315232606727249. The next prime is 315232606727281. The reversal of 315232606727280 is 82727606232513.

315232606727280 is a `hidden beast` number, since 3 + 1 + 5 + 2 + 3 + 2 + 606 + 7 + 2 + 7 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315232606727281) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 271051251979 + ... + 271051253141.

Almost surely, 2^{315232606727280} is an apocalyptic number.

315232606727280 is a gapful number since it is divisible by the number (30) 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 315232606727280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617121304208640).

315232606727280 is an abundant number, since it is smaller than the sum of its proper divisors (919010001690000).

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

315232606727280 is a wasteful number, since it uses less digits than its factorization.

315232606727280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 315232606727280 in words is "three hundred fifteen trillion, two hundred thirty-two billion, six hundred six million, seven hundred twenty-seven thousand, two hundred eighty".