312485563260 has 576 divisors, whose sum is σ = 1104062668800. Its totient is φ = 73667957760.

The previous prime is 312485563259. The next prime is 312485563309. The reversal of 312485563260 is 62365584213.

312485563260 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 8 + 5 + 5 + 632 + 6 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 201732966 + ... + 201734514.

Almost surely, 2^312485563260 is an apocalyptic number.

312485563260 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 312485563260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552031334400).

312485563260 is an abundant number, since it is smaller than the sum of its proper divisors (791577105540).

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

312485563260 is a wasteful number, since it uses less digits than its factorization.

312485563260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 312485563260 in words is "three hundred twelve billion, four hundred eighty-five million, five hundred sixty-three thousand, two hundred sixty".