5316096614400 has 2688 divisors, whose sum is σ = 23508100385280. Its totient is φ = 1175283302400.

The previous prime is 5316096614399. The next prime is 5316096614429. The reversal of 5316096614400 is 44166906135.

5316096614400 is a `hidden beast` number, since 5 + 3 + 1 + 60 + 96 + 61 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64049356759 + ... + 64049356841.

It is an arithmetic number, because the mean of its divisors is an integer number (8745573060).

Almost surely, 2^{5316096614400} is an apocalyptic number.

5316096614400 is a gapful number since it is divisible by the number (50) 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 5316096614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11754050192640).

5316096614400 is an abundant number, since it is smaller than the sum of its proper divisors (18192003770880).

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

5316096614400 is an equidigital number, since it uses as much as digits as its factorization.

5316096614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

It can be divided in two parts, 53160 and 96614400, that added together give a triangular number (96667560 = T₁₃₉₀₄).

The spelling of 5316096614400 in words is "five trillion, three hundred sixteen billion, ninety-six million, six hundred fourteen thousand, four hundred".