312953782020 has 192 divisors, whose sum is σ = 979368848640. Its totient is φ = 74023372800.

The previous prime is 312953782003. The next prime is 312953782049. The reversal of 312953782020 is 20287359213.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6306666 + ... + 6356094.

It is an arithmetic number, because the mean of its divisors is an integer number (5100879420).

Almost surely, 2^312953782020 is an apocalyptic number.

312953782020 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 312953782020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489684424320).

312953782020 is an abundant number, since it is smaller than the sum of its proper divisors (666415066620).

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

312953782020 is a wasteful number, since it uses less digits than its factorization.

312953782020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49686 (or 49684 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 312953782020 in words is "three hundred twelve billion, nine hundred fifty-three million, seven hundred eighty-two thousand, twenty".