8311975420320 has 576 divisors, whose sum is σ = 34472574864000. Its totient is φ = 1795882475520.

The previous prime is 8311975420297. The next prime is 8311975420337. The reversal of 8311975420320 is 230245791138.

It is a happy number.

8311975420320 is a `hidden beast` number, since 8 + 3 + 1 + 197 + 5 + 420 + 32 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 5275731 + ... + 6667629.

It is an arithmetic number, because the mean of its divisors is an integer number (59848220250).

Almost surely, 2^{8311975420320} is an apocalyptic number.

8311975420320 is a gapful number since it is divisible by the number (80) 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 8311975420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236287432000).

8311975420320 is an abundant number, since it is smaller than the sum of its proper divisors (26160599443680).

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

8311975420320 is a wasteful number, since it uses less digits than its factorization.

8311975420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391973 (or 1391962 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 8311975420320 in words is "eight trillion, three hundred eleven billion, nine hundred seventy-five million, four hundred twenty thousand, three hundred twenty".