313080768000 has 2560 divisors, whose sum is σ = 1561460060160. Its totient is φ = 59719680000.

The previous prime is 313080767981. The next prime is 313080768001. The reversal of 313080768000 is 867080313.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313080768001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1729727910 + ... + 1729728090.

It is an arithmetic number, because the mean of its divisors is an integer number (609945336).

Almost surely, 2^313080768000 is an apocalyptic number.

313080768000 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 313080768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780730030080).

313080768000 is an abundant number, since it is smaller than the sum of its proper divisors (1248379292160).

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

313080768000 is a wasteful number, since it uses less digits than its factorization.

313080768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 313080768000 in words is "three hundred thirteen billion, eighty million, seven hundred sixty-eight thousand".