315745085520 has 120 divisors (see below), whose sum is σ = 1089036181896. Its totient is φ = 81923042304.

The previous prime is 315745085519. The next prime is 315745085533. The reversal of 315745085520 is 25580547513.

315745085520 is a `hidden beast` number, since 3 + 1 + 5 + 7 + 45 + 0 + 85 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24313541184 + 291431544336 = 155928^2 + 539844^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×315745085520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5899507 + ... + 5952786.

Almost surely, 2^315745085520 is an apocalyptic number.

315745085520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315745085520 is an abundant number, since it is smaller than the sum of its proper divisors (773291096376).

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

315745085520 is a wasteful number, since it uses less digits than its factorization.

315745085520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11852349 (or 11852340 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 315745085520 in words is "three hundred fifteen billion, seven hundred forty-five million, eighty-five thousand, five hundred twenty".