315155681280 has 1456 divisors, whose sum is σ = 1314981829440. Its totient is φ = 71663616000.

The previous prime is 315155681257. The next prime is 315155681311. The reversal of 315155681280 is 82186551513.

315155681280 is a `hidden beast` number, since 3 + 1 + 5 + 1 + 5 + 568 + 1 + 2 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3120353230 + ... + 3120353330.

Almost surely, 2^315155681280 is an apocalyptic number.

315155681280 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 315155681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657490914720).

315155681280 is an abundant number, since it is smaller than the sum of its proper divisors (999826148160).

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

315155681280 is a wasteful number, since it uses less digits than its factorization.

315155681280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 315155681280 in words is "three hundred fifteen billion, one hundred fifty-five million, six hundred eighty-one thousand, two hundred eighty".