311107728960 has 672 divisors, whose sum is σ = 1278218253312. Its totient is φ = 70551336960.

The previous prime is 311107728947. The next prime is 311107728961. The reversal of 311107728960 is 69827701113.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (311107728961) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 71303739 + ... + 71308101.

It is an arithmetic number, because the mean of its divisors is an integer number (1902110496).

Almost surely, 2^311107728960 is an apocalyptic number.

311107728960 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 311107728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639109126656).

311107728960 is an abundant number, since it is smaller than the sum of its proper divisors (967110524352).

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

311107728960 is a wasteful number, since it uses less digits than its factorization.

311107728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4533 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 311107728960 in words is "three hundred eleven billion, one hundred seven million, seven hundred twenty-eight thousand, nine hundred sixty".