5314882396320 has 1152 divisors, whose sum is σ = 23301326764800. Its totient is φ = 1123945611264.

The previous prime is 5314882396277. The next prime is 5314882396331. The reversal of 5314882396320 is 236932884135.

5314882396320 is a `hidden beast` number, since 5 + 3 + 1 + 4 + 88 + 239 + 6 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 212302524 + ... + 212327556.

It is an arithmetic number, because the mean of its divisors is an integer number (20226846150).

Almost surely, 2^{5314882396320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5314882396320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11650663382400).

5314882396320 is an abundant number, since it is smaller than the sum of its proper divisors (17986444368480).

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

5314882396320 is a wasteful number, since it uses less digits than its factorization.

5314882396320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25147 (or 25126 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 5314882396320 in words is "five trillion, three hundred fourteen billion, eight hundred eighty-two million, three hundred ninety-six thousand, three hundred twenty".