315851961600 has 1296 divisors, whose sum is σ = 1369422768000. Its totient is φ = 71205765120.

The previous prime is 315851961577. The next prime is 315851961629. The reversal of 315851961600 is 6169158513.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

315851961600 is a `hidden beast` number, since 3 + 1 + 585 + 1 + 9 + 6 + 1 + 60 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 4326739164 + ... + 4326739236.

Almost surely, 2^315851961600 is an apocalyptic number.

315851961600 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 315851961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684711384000).

315851961600 is an abundant number, since it is smaller than the sum of its proper divisors (1053570806400).

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

315851961600 is an frugal number, since it uses more digits than its factorization.

315851961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 315851961600 in words is "three hundred fifteen billion, eight hundred fifty-one million, nine hundred sixty-one thousand, six hundred".