311197705920 has 448 divisors, whose sum is σ = 1149124285440. Its totient is φ = 79131672576.

The previous prime is 311197705883. The next prime is 311197705967. The reversal of 311197705920 is 29507791113.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 68953584 + ... + 68958096.

Almost surely, 2^311197705920 is an apocalyptic number.

311197705920 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 311197705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574562142720).

311197705920 is an abundant number, since it is smaller than the sum of its proper divisors (837926579520).

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

311197705920 is a wasteful number, since it uses less digits than its factorization.

311197705920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909 (or 4893 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The spelling of 311197705920 in words is "three hundred eleven billion, one hundred ninety-seven million, seven hundred five thousand, nine hundred twenty".