316039752161280 has 2304 divisors, whose sum is σ = 1369460000563200. Its totient is φ = 65845592064000.

The previous prime is 316039752161279. The next prime is 316039752161291. The reversal of 316039752161280 is 82161257930613.

It is a happy number.

316039752161280 is a `hidden beast` number, since 3 + 1 + 6 + 0 + 3 + 97 + 521 + 6 + 1 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×316039752161280² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23778471435 + ... + 23778484725.

It is an arithmetic number, because the mean of its divisors is an integer number (594383680800).

Almost surely, 2^{316039752161280} is an apocalyptic number.

316039752161280 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 316039752161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684730000281600).

316039752161280 is an abundant number, since it is smaller than the sum of its proper divisors (1053420248401920).

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

316039752161280 is a wasteful number, since it uses less digits than its factorization.

316039752161280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13432 (or 13409 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 316039752161280 in words is "three hundred sixteen trillion, thirty-nine billion, seven hundred fifty-two million, one hundred sixty-one thousand, two hundred eighty".