315765496560 has 160 divisors (see below), whose sum is σ = 1024682987520. Its totient is φ = 80340019200.

The previous prime is 315765496547. The next prime is 315765496561. The reversal of 315765496560 is 65694567513.

It is a self number, because there is not a number n which added to its sum of digits gives 315765496560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315765496561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229356 + ... + 827124.

It is an arithmetic number, because the mean of its divisors is an integer number (6404268672).

Almost surely, 2^315765496560 is an apocalyptic number.

315765496560 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 315765496560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512341493760).

315765496560 is an abundant number, since it is smaller than the sum of its proper divisors (708917490960).

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

315765496560 is a wasteful number, since it uses less digits than its factorization.

315765496560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597887 (or 597881 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 57.

The spelling of 315765496560 in words is "three hundred fifteen billion, seven hundred sixty-five million, four hundred ninety-six thousand, five hundred sixty".