316380376919880 has 2304 divisors, whose sum is σ = 1341673901568000. Its totient is φ = 64049822613504.

The previous prime is 316380376919863. The next prime is 316380376919897. The reversal of 316380376919880 is 88919673083613.

316380376919880 is a `hidden beast` number, since 3 + 1 + 6 + 3 + 8 + 0 + 376 + 91 + 98 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (316380376919863) and next prime (316380376919897).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 316380376919799 and 316380376919808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 104657748049 + ... + 104657751071.

It is an arithmetic number, because the mean of its divisors is an integer number (582323742000).

Almost surely, 2^{316380376919880} is an apocalyptic number.

316380376919880 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 316380376919880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670836950784000).

316380376919880 is an abundant number, since it is smaller than the sum of its proper divisors (1025293524648120).

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

316380376919880 is a wasteful number, since it uses less digits than its factorization.

316380376919880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 316380376919880 in words is "three hundred sixteen trillion, three hundred eighty billion, three hundred seventy-six million, nine hundred nineteen thousand, eight hundred eighty".