5116435583400 has 240 divisors, whose sum is σ = 18035368549440. Its totient is φ = 1344018614400.

The previous prime is 5116435583387. The next prime is 5116435583447. The reversal of 5116435583400 is 43855346115.

5116435583400 is a `hidden beast` number, since 5 + 1 + 1 + 64 + 3 + 5 + 583 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1271536 + ... + 3442335.

It is an arithmetic number, because the mean of its divisors is an integer number (75147368956).

Almost surely, 2^{5116435583400} is an apocalyptic number.

5116435583400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5116435583400 is an abundant number, since it is smaller than the sum of its proper divisors (12918932966040).

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

5116435583400 is a wasteful number, since it uses less digits than its factorization.

5116435583400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4713966 (or 4713948 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 5116435583400 in words is "five trillion, one hundred sixteen billion, four hundred thirty-five million, five hundred eighty-three thousand, four hundred".