5118697382400 has 1440 divisors, whose sum is σ = 21879887597568. Its totient is φ = 1118151475200.

The previous prime is 5118697382339. The next prime is 5118697382443. The reversal of 5118697382400 is 42837968115.

5118697382400 is a `hidden beast` number, since 5 + 11 + 86 + 9 + 73 + 82 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×5118697382400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2074865967 + ... + 2074868433.

It is a 1-persistent number, because it is pandigital, but 2⋅5118697382400 = 10237394764800 is not.

Almost surely, 2^{5118697382400} is an apocalyptic number.

5118697382400 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 5118697382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10939943798784).

5118697382400 is an abundant number, since it is smaller than the sum of its proper divisors (16761190215168).

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

5118697382400 is a wasteful number, since it uses less digits than its factorization.

5118697382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 5118697382400 in words is "five trillion, one hundred eighteen billion, six hundred ninety-seven million, three hundred eighty-two thousand, four hundred".