315500721120 has 288 divisors, whose sum is σ = 1164679955712. Its totient is φ = 77312434176.

The previous prime is 315500721097. The next prime is 315500721131. The reversal of 315500721120 is 21127005513.

315500721120 is a `hidden beast` number, since 3 + 15 + 500 + 7 + 21 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4136772 + ... + 4212348.

It is an arithmetic number, because the mean of its divisors is an integer number (4044027624).

Almost surely, 2^315500721120 is an apocalyptic number.

315500721120 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 315500721120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582339977856).

315500721120 is an abundant number, since it is smaller than the sum of its proper divisors (849179234592).

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

315500721120 is a wasteful number, since it uses less digits than its factorization.

315500721120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75834 (or 75823 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

Adding to 315500721120 its reverse (21127005513), we get a palindrome (336627726633).

The spelling of 315500721120 in words is "three hundred fifteen billion, five hundred million, seven hundred twenty-one thousand, one hundred twenty".