311696760960 has 768 divisors, whose sum is σ = 1211198526720. Its totient is φ = 76142592000.

The previous prime is 311696760941. The next prime is 311696760989. The reversal of 311696760960 is 69067696113.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 311696760897 and 311696760906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 305285250 + ... + 305286270.

It is an arithmetic number, because the mean of its divisors is an integer number (1577081415).

Almost surely, 2^311696760960 is an apocalyptic number.

311696760960 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 311696760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605599263360).

311696760960 is an abundant number, since it is smaller than the sum of its proper divisors (899501765760).

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

311696760960 is a wasteful number, since it uses less digits than its factorization.

311696760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 311696760960 in words is "three hundred eleven billion, six hundred ninety-six million, seven hundred sixty thousand, nine hundred sixty".