315318151680 has 960 divisors, whose sum is σ = 1225258721280. Its totient is φ = 68898816000.

The previous prime is 315318151669. The next prime is 315318151691. The reversal of 315318151680 is 86151813513.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (315318151669) and next prime (315318151691).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1761553831 + ... + 1761554009.

It is an arithmetic number, because the mean of its divisors is an integer number (1276311168).

Almost surely, 2^315318151680 is an apocalyptic number.

315318151680 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 315318151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612629360640).

315318151680 is an abundant number, since it is smaller than the sum of its proper divisors (909940569600).

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

315318151680 is a wasteful number, since it uses less digits than its factorization.

315318151680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The spelling of 315318151680 in words is "three hundred fifteen billion, three hundred eighteen million, one hundred fifty-one thousand, six hundred eighty".