315090324000 has 576 divisors, whose sum is σ = 1197195697152. Its totient is φ = 81305856000.

The previous prime is 315090323941. The next prime is 315090324007. The reversal of 315090324000 is 423090513.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (315090324007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30126772 + ... + 30137228.

It is an arithmetic number, because the mean of its divisors is an integer number (2078464752).

Almost surely, 2^315090324000 is an apocalyptic number.

315090324000 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 315090324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598597848576).

315090324000 is an abundant number, since it is smaller than the sum of its proper divisors (882105373152).

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

315090324000 is a wasteful number, since it uses less digits than its factorization.

315090324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10528 (or 10498 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 315090324000 in words is "three hundred fifteen billion, ninety million, three hundred twenty-four thousand".